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Finding the Fourth Proportional to 5,397.44, 8,084.80 and 2,478.24

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Solution

The fourth proportional to 5,397.44, 8,084.80 and 2,478.24 is: 3,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.44 : 8,084.80 = 2,478.24 : x
  2. Step 2: Convert to fraction form
    5,397.44/8,084.80 = 2,478.24/x
  3. Step 3: Cross multiply
    5,397.44x = 8,084.80 × 2,478.24
  4. Step 4: Simplify right side
    5,397.44x = 20,036,074.75
  5. Step 5: Solve for x
    x = 20,036,074.75/5,397.44
  6. Step 6: Final answer
    x = 3,712.14

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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.