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Finding the Fourth Proportional to 3,713.83, 5,126.42 and 2,534.06

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Solution

The fourth proportional to 3,713.83, 5,126.42 and 2,534.06 is: 3,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.83 : 5,126.42 = 2,534.06 : x
  2. Step 2: Convert to fraction form
    3,713.83/5,126.42 = 2,534.06/x
  3. Step 3: Cross multiply
    3,713.83x = 5,126.42 × 2,534.06
  4. Step 4: Simplify right side
    3,713.83x = 12,990,655.87
  5. Step 5: Solve for x
    x = 12,990,655.87/3,713.83
  6. Step 6: Final answer
    x = 3,497.91

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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.