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Finding the Fourth Proportional to 5,891.74, 8,132.10 and 3,374.66

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Solution

The fourth proportional to 5,891.74, 8,132.10 and 3,374.66 is: 4,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.74 : 8,132.10 = 3,374.66 : x
  2. Step 2: Convert to fraction form
    5,891.74/8,132.10 = 3,374.66/x
  3. Step 3: Cross multiply
    5,891.74x = 8,132.10 × 3,374.66
  4. Step 4: Simplify right side
    5,891.74x = 27,443,080.26
  5. Step 5: Solve for x
    x = 27,443,080.26/5,891.74
  6. Step 6: Final answer
    x = 4,657.89

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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.