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Finding the Fourth Proportional to 5,953.77, 8,930.66 and 2,009.48

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Solution

The fourth proportional to 5,953.77, 8,930.66 and 2,009.48 is: 3,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.77 : 8,930.66 = 2,009.48 : x
  2. Step 2: Convert to fraction form
    5,953.77/8,930.66 = 2,009.48/x
  3. Step 3: Cross multiply
    5,953.77x = 8,930.66 × 2,009.48
  4. Step 4: Simplify right side
    5,953.77x = 17,945,927.96
  5. Step 5: Solve for x
    x = 17,945,927.96/5,953.77
  6. Step 6: Final answer
    x = 3,014.21

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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.