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Finding the Fourth Proportional to 3,713.57, 5,124.47 and 2,034.71

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Solution

The fourth proportional to 3,713.57, 5,124.47 and 2,034.71 is: 2,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.57 : 5,124.47 = 2,034.71 : x
  2. Step 2: Convert to fraction form
    3,713.57/5,124.47 = 2,034.71/x
  3. Step 3: Cross multiply
    3,713.57x = 5,124.47 × 2,034.71
  4. Step 4: Simplify right side
    3,713.57x = 10,426,774.56
  5. Step 5: Solve for x
    x = 10,426,774.56/3,713.57
  6. Step 6: Final answer
    x = 2,807.75

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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.