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Finding the Fourth Proportional to 5,422.40, 8,128.80 and 4,839.20

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Solution

The fourth proportional to 5,422.40, 8,128.80 and 4,839.20 is: 7,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.40 : 8,128.80 = 4,839.20 : x
  2. Step 2: Convert to fraction form
    5,422.40/8,128.80 = 4,839.20/x
  3. Step 3: Cross multiply
    5,422.40x = 8,128.80 × 4,839.20
  4. Step 4: Simplify right side
    5,422.40x = 39,336,888.96
  5. Step 5: Solve for x
    x = 39,336,888.96/5,422.40
  6. Step 6: Final answer
    x = 7,254.52

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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.