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Finding the Fourth Proportional to 6,068.61, 9,098.06 and 3,755.25

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Solution

The fourth proportional to 6,068.61, 9,098.06 and 3,755.25 is: 5,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,068.61 : 9,098.06 = 3,755.25 : x
  2. Step 2: Convert to fraction form
    6,068.61/9,098.06 = 3,755.25/x
  3. Step 3: Cross multiply
    6,068.61x = 9,098.06 × 3,755.25
  4. Step 4: Simplify right side
    6,068.61x = 34,165,471.04
  5. Step 5: Solve for x
    x = 34,165,471.04/6,068.61
  6. Step 6: Final answer
    x = 5,629.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.