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Finding the Fourth Proportional to 6,059.34, 9,092.52 and 3,464.10

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Solution

The fourth proportional to 6,059.34, 9,092.52 and 3,464.10 is: 5,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.34 : 9,092.52 = 3,464.10 : x
  2. Step 2: Convert to fraction form
    6,059.34/9,092.52 = 3,464.10/x
  3. Step 3: Cross multiply
    6,059.34x = 9,092.52 × 3,464.10
  4. Step 4: Simplify right side
    6,059.34x = 31,497,398.53
  5. Step 5: Solve for x
    x = 31,497,398.53/6,059.34
  6. Step 6: Final answer
    x = 5,198.16

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