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Finding the Fourth Proportional to 5,402.53, 8,092.86 and 4,165.66

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Solution

The fourth proportional to 5,402.53, 8,092.86 and 4,165.66 is: 6,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.53 : 8,092.86 = 4,165.66 : x
  2. Step 2: Convert to fraction form
    5,402.53/8,092.86 = 4,165.66/x
  3. Step 3: Cross multiply
    5,402.53x = 8,092.86 × 4,165.66
  4. Step 4: Simplify right side
    5,402.53x = 33,712,103.19
  5. Step 5: Solve for x
    x = 33,712,103.19/5,402.53
  6. Step 6: Final answer
    x = 6,240.06

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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.