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Finding the Fourth Proportional to 6,254.52, 8,631.32 and 3,460

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Solution

The fourth proportional to 6,254.52, 8,631.32 and 3,460 is: 4,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.52 : 8,631.32 = 3,460 : x
  2. Step 2: Convert to fraction form
    6,254.52/8,631.32 = 3,460/x
  3. Step 3: Cross multiply
    6,254.52x = 8,631.32 × 3,460
  4. Step 4: Simplify right side
    6,254.52x = 29,864,367.20
  5. Step 5: Solve for x
    x = 29,864,367.20/6,254.52
  6. Step 6: Final answer
    x = 4,774.85

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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.