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Finding the Fourth Proportional to 3,731.06, 5,601.47 and 2,503.95

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Solution

The fourth proportional to 3,731.06, 5,601.47 and 2,503.95 is: 3,759.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.06 : 5,601.47 = 2,503.95 : x
  2. Step 2: Convert to fraction form
    3,731.06/5,601.47 = 2,503.95/x
  3. Step 3: Cross multiply
    3,731.06x = 5,601.47 × 2,503.95
  4. Step 4: Simplify right side
    3,731.06x = 14,025,788.29
  5. Step 5: Solve for x
    x = 14,025,788.29/3,731.06
  6. Step 6: Final answer
    x = 3,759.20

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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.