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Finding the Fourth Proportional to 3,695.78, 5,101.04 and 2,437.07

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Solution

The fourth proportional to 3,695.78, 5,101.04 and 2,437.07 is: 3,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.78 : 5,101.04 = 2,437.07 : x
  2. Step 2: Convert to fraction form
    3,695.78/5,101.04 = 2,437.07/x
  3. Step 3: Cross multiply
    3,695.78x = 5,101.04 × 2,437.07
  4. Step 4: Simplify right side
    3,695.78x = 12,431,553.86
  5. Step 5: Solve for x
    x = 12,431,553.86/3,695.78
  6. Step 6: Final answer
    x = 3,363.71

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