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Finding the Fourth Proportional to 3,713.47, 5,128.53 and 2,523.76

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Solution

The fourth proportional to 3,713.47, 5,128.53 and 2,523.76 is: 3,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.47 : 5,128.53 = 2,523.76 : x
  2. Step 2: Convert to fraction form
    3,713.47/5,128.53 = 2,523.76/x
  3. Step 3: Cross multiply
    3,713.47x = 5,128.53 × 2,523.76
  4. Step 4: Simplify right side
    3,713.47x = 12,943,178.87
  5. Step 5: Solve for x
    x = 12,943,178.87/3,713.47
  6. Step 6: Final answer
    x = 3,485.47

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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.