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Finding the Fourth Proportional to 3,729.79, 5,594.54 and 1,264.61

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Solution

The fourth proportional to 3,729.79, 5,594.54 and 1,264.61 is: 1,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.79 : 5,594.54 = 1,264.61 : x
  2. Step 2: Convert to fraction form
    3,729.79/5,594.54 = 1,264.61/x
  3. Step 3: Cross multiply
    3,729.79x = 5,594.54 × 1,264.61
  4. Step 4: Simplify right side
    3,729.79x = 7,074,897.91
  5. Step 5: Solve for x
    x = 7,074,897.91/3,729.79
  6. Step 6: Final answer
    x = 1,896.86

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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.