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Finding the Fourth Proportional to 3,134.74, 4,702.24 and 2,585.90

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Solution

The fourth proportional to 3,134.74, 4,702.24 and 2,585.90 is: 3,878.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.74 : 4,702.24 = 2,585.90 : x
  2. Step 2: Convert to fraction form
    3,134.74/4,702.24 = 2,585.90/x
  3. Step 3: Cross multiply
    3,134.74x = 4,702.24 × 2,585.90
  4. Step 4: Simplify right side
    3,134.74x = 12,159,522.42
  5. Step 5: Solve for x
    x = 12,159,522.42/3,134.74
  6. Step 6: Final answer
    x = 3,878.96

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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.