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Finding the Fourth Proportional to 5,587.50, 7,725.15 and 5,342.70

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Solution

The fourth proportional to 5,587.50, 7,725.15 and 5,342.70 is: 7,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.50 : 7,725.15 = 5,342.70 : x
  2. Step 2: Convert to fraction form
    5,587.50/7,725.15 = 5,342.70/x
  3. Step 3: Cross multiply
    5,587.50x = 7,725.15 × 5,342.70
  4. Step 4: Simplify right side
    5,587.50x = 41,273,158.91
  5. Step 5: Solve for x
    x = 41,273,158.91/5,587.50
  6. Step 6: Final answer
    x = 7,386.70

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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.