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Finding the Fourth Proportional to 6,538.98, 9,024.41 and 3,706.48

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Solution

The fourth proportional to 6,538.98, 9,024.41 and 3,706.48 is: 5,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.98 : 9,024.41 = 3,706.48 : x
  2. Step 2: Convert to fraction form
    6,538.98/9,024.41 = 3,706.48/x
  3. Step 3: Cross multiply
    6,538.98x = 9,024.41 × 3,706.48
  4. Step 4: Simplify right side
    6,538.98x = 33,448,841.10
  5. Step 5: Solve for x
    x = 33,448,841.10/6,538.98
  6. Step 6: Final answer
    x = 5,115.30

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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.