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Finding the Fourth Proportional to 6,541.98, 9,028.17 and 3,748.02

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Solution

The fourth proportional to 6,541.98, 9,028.17 and 3,748.02 is: 5,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.98 : 9,028.17 = 3,748.02 : x
  2. Step 2: Convert to fraction form
    6,541.98/9,028.17 = 3,748.02/x
  3. Step 3: Cross multiply
    6,541.98x = 9,028.17 × 3,748.02
  4. Step 4: Simplify right side
    6,541.98x = 33,837,761.72
  5. Step 5: Solve for x
    x = 33,837,761.72/6,541.98
  6. Step 6: Final answer
    x = 5,172.40

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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.