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Finding the Fourth Proportional to 5,494.71, 8,242.35 and 1,599.42

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Solution

The fourth proportional to 5,494.71, 8,242.35 and 1,599.42 is: 2,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.71 : 8,242.35 = 1,599.42 : x
  2. Step 2: Convert to fraction form
    5,494.71/8,242.35 = 1,599.42/x
  3. Step 3: Cross multiply
    5,494.71x = 8,242.35 × 1,599.42
  4. Step 4: Simplify right side
    5,494.71x = 13,182,979.44
  5. Step 5: Solve for x
    x = 13,182,979.44/5,494.71
  6. Step 6: Final answer
    x = 2,399.21

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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.