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Finding the Fourth Proportional to 5,781.52, 8,666.88 and 4,114

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Solution

The fourth proportional to 5,781.52, 8,666.88 and 4,114 is: 6,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.52 : 8,666.88 = 4,114 : x
  2. Step 2: Convert to fraction form
    5,781.52/8,666.88 = 4,114/x
  3. Step 3: Cross multiply
    5,781.52x = 8,666.88 × 4,114
  4. Step 4: Simplify right side
    5,781.52x = 35,655,544.32
  5. Step 5: Solve for x
    x = 35,655,544.32/5,781.52
  6. Step 6: Final answer
    x = 6,167.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.