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Finding the Fourth Proportional to 3,591.42, 5,387.12 and 1,642.26

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Solution

The fourth proportional to 3,591.42, 5,387.12 and 1,642.26 is: 2,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.42 : 5,387.12 = 1,642.26 : x
  2. Step 2: Convert to fraction form
    3,591.42/5,387.12 = 1,642.26/x
  3. Step 3: Cross multiply
    3,591.42x = 5,387.12 × 1,642.26
  4. Step 4: Simplify right side
    3,591.42x = 8,847,051.69
  5. Step 5: Solve for x
    x = 8,847,051.69/3,591.42
  6. Step 6: Final answer
    x = 2,463.39

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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.