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Finding the Fourth Proportional to 3,901.64, 5,854.77 and 1,562.76

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Solution

The fourth proportional to 3,901.64, 5,854.77 and 1,562.76 is: 2,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.64 : 5,854.77 = 1,562.76 : x
  2. Step 2: Convert to fraction form
    3,901.64/5,854.77 = 1,562.76/x
  3. Step 3: Cross multiply
    3,901.64x = 5,854.77 × 1,562.76
  4. Step 4: Simplify right side
    3,901.64x = 9,149,600.37
  5. Step 5: Solve for x
    x = 9,149,600.37/3,901.64
  6. Step 6: Final answer
    x = 2,345.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.