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Finding the Fourth Proportional to 3,725.14, 5,587.60 and 951.82

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Solution

The fourth proportional to 3,725.14, 5,587.60 and 951.82 is: 1,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.14 : 5,587.60 = 951.82 : x
  2. Step 2: Convert to fraction form
    3,725.14/5,587.60 = 951.82/x
  3. Step 3: Cross multiply
    3,725.14x = 5,587.60 × 951.82
  4. Step 4: Simplify right side
    3,725.14x = 5,318,389.43
  5. Step 5: Solve for x
    x = 5,318,389.43/3,725.14
  6. Step 6: Final answer
    x = 1,427.70

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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.