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Finding the Fourth Proportional to 5,817,141.92, 8,009,851.92 and 5,800,345.76

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Solution

The fourth proportional to 5,817,141.92, 8,009,851.92 and 5,800,345.76 is: 7,986,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817,141.92 : 8,009,851.92 = 5,800,345.76 : x
  2. Step 2: Convert to fraction form
    5,817,141.92/8,009,851.92 = 5,800,345.76/x
  3. Step 3: Cross multiply
    5,817,141.92x = 8,009,851.92 × 5,800,345.76
  4. Step 4: Simplify right side
    5,817,141.92x = 46,459,910,622,399.86
  5. Step 5: Solve for x
    x = 46,459,910,622,399.86/5,817,141.92
  6. Step 6: Final answer
    x = 7,986,724.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.