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Finding the Fourth Proportional to 5,135.57, 7,702.58 and 1,625.12

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Solution

The fourth proportional to 5,135.57, 7,702.58 and 1,625.12 is: 2,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.57 : 7,702.58 = 1,625.12 : x
  2. Step 2: Convert to fraction form
    5,135.57/7,702.58 = 1,625.12/x
  3. Step 3: Cross multiply
    5,135.57x = 7,702.58 × 1,625.12
  4. Step 4: Simplify right side
    5,135.57x = 12,517,587.66
  5. Step 5: Solve for x
    x = 12,517,587.66/5,135.57
  6. Step 6: Final answer
    x = 2,437.43

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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.