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Finding the Fourth Proportional to 3,591.58, 5,384.62 and 1,642.42

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Solution

The fourth proportional to 3,591.58, 5,384.62 and 1,642.42 is: 2,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.58 : 5,384.62 = 1,642.42 : x
  2. Step 2: Convert to fraction form
    3,591.58/5,384.62 = 1,642.42/x
  3. Step 3: Cross multiply
    3,591.58x = 5,384.62 × 1,642.42
  4. Step 4: Simplify right side
    3,591.58x = 8,843,807.58
  5. Step 5: Solve for x
    x = 8,843,807.58/3,591.58
  6. Step 6: Final answer
    x = 2,462.37

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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.