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Finding the Fourth Proportional to 5,134.15, 7,702.17 and 1,625.04

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Solution

The fourth proportional to 5,134.15, 7,702.17 and 1,625.04 is: 2,437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.15 : 7,702.17 = 1,625.04 : x
  2. Step 2: Convert to fraction form
    5,134.15/7,702.17 = 1,625.04/x
  3. Step 3: Cross multiply
    5,134.15x = 7,702.17 × 1,625.04
  4. Step 4: Simplify right side
    5,134.15x = 12,516,315.08
  5. Step 5: Solve for x
    x = 12,516,315.08/5,134.15
  6. Step 6: Final answer
    x = 2,437.86

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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.