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Finding the Fourth Proportional to 6,141.67, 8,475.74 and 3,489.10

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Solution

The fourth proportional to 6,141.67, 8,475.74 and 3,489.10 is: 4,815.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.67 : 8,475.74 = 3,489.10 : x
  2. Step 2: Convert to fraction form
    6,141.67/8,475.74 = 3,489.10/x
  3. Step 3: Cross multiply
    6,141.67x = 8,475.74 × 3,489.10
  4. Step 4: Simplify right side
    6,141.67x = 29,572,702.72
  5. Step 5: Solve for x
    x = 29,572,702.72/6,141.67
  6. Step 6: Final answer
    x = 4,815.09

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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.