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Finding the Fourth Proportional to 5,149.68, 7,725.26 and 1,592.12

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Solution

The fourth proportional to 5,149.68, 7,725.26 and 1,592.12 is: 2,388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.68 : 7,725.26 = 1,592.12 : x
  2. Step 2: Convert to fraction form
    5,149.68/7,725.26 = 1,592.12/x
  3. Step 3: Cross multiply
    5,149.68x = 7,725.26 × 1,592.12
  4. Step 4: Simplify right side
    5,149.68x = 12,299,494.36
  5. Step 5: Solve for x
    x = 12,299,494.36/5,149.68
  6. Step 6: Final answer
    x = 2,388.40

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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.