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Finding the Fourth Proportional to 5,342.40, 8,001.20 and 5,157.84

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Solution

The fourth proportional to 5,342.40, 8,001.20 and 5,157.84 is: 7,724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.40 : 8,001.20 = 5,157.84 : x
  2. Step 2: Convert to fraction form
    5,342.40/8,001.20 = 5,157.84/x
  3. Step 3: Cross multiply
    5,342.40x = 8,001.20 × 5,157.84
  4. Step 4: Simplify right side
    5,342.40x = 41,268,909.41
  5. Step 5: Solve for x
    x = 41,268,909.41/5,342.40
  6. Step 6: Final answer
    x = 7,724.79

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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.