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Finding the Fourth Proportional to 3,713.65, 5,126.72 and 2,872.45

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Solution

The fourth proportional to 3,713.65, 5,126.72 and 2,872.45 is: 3,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.65 : 5,126.72 = 2,872.45 : x
  2. Step 2: Convert to fraction form
    3,713.65/5,126.72 = 2,872.45/x
  3. Step 3: Cross multiply
    3,713.65x = 5,126.72 × 2,872.45
  4. Step 4: Simplify right side
    3,713.65x = 14,726,246.86
  5. Step 5: Solve for x
    x = 14,726,246.86/3,713.65
  6. Step 6: Final answer
    x = 3,965.44

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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.