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Finding the Fourth Proportional to 4,778.80, 6,605.76 and 3,988.24

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Solution

The fourth proportional to 4,778.80, 6,605.76 and 3,988.24 is: 5,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.80 : 6,605.76 = 3,988.24 : x
  2. Step 2: Convert to fraction form
    4,778.80/6,605.76 = 3,988.24/x
  3. Step 3: Cross multiply
    4,778.80x = 6,605.76 × 3,988.24
  4. Step 4: Simplify right side
    4,778.80x = 26,345,356.26
  5. Step 5: Solve for x
    x = 26,345,356.26/4,778.80
  6. Step 6: Final answer
    x = 5,512.96

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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.