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Finding the Fourth Proportional to 5,306.40, 7,959.60 and 5,104.80

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Solution

The fourth proportional to 5,306.40, 7,959.60 and 5,104.80 is: 7,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.40 : 7,959.60 = 5,104.80 : x
  2. Step 2: Convert to fraction form
    5,306.40/7,959.60 = 5,104.80/x
  3. Step 3: Cross multiply
    5,306.40x = 7,959.60 × 5,104.80
  4. Step 4: Simplify right side
    5,306.40x = 40,632,166.08
  5. Step 5: Solve for x
    x = 40,632,166.08/5,306.40
  6. Step 6: Final answer
    x = 7,657.20

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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.