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Finding the Fourth Proportional to 4,781.76, 6,597.36 and 3,211.44

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Solution

The fourth proportional to 4,781.76, 6,597.36 and 3,211.44 is: 4,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.76 : 6,597.36 = 3,211.44 : x
  2. Step 2: Convert to fraction form
    4,781.76/6,597.36 = 3,211.44/x
  3. Step 3: Cross multiply
    4,781.76x = 6,597.36 × 3,211.44
  4. Step 4: Simplify right side
    4,781.76x = 21,187,025.80
  5. Step 5: Solve for x
    x = 21,187,025.80/4,781.76
  6. Step 6: Final answer
    x = 4,430.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.