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Finding the Fourth Proportional to 5,604.80, 8,407.20 and 3,012.80

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Solution

The fourth proportional to 5,604.80, 8,407.20 and 3,012.80 is: 4,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.80 : 8,407.20 = 3,012.80 : x
  2. Step 2: Convert to fraction form
    5,604.80/8,407.20 = 3,012.80/x
  3. Step 3: Cross multiply
    5,604.80x = 8,407.20 × 3,012.80
  4. Step 4: Simplify right side
    5,604.80x = 25,329,212.16
  5. Step 5: Solve for x
    x = 25,329,212.16/5,604.80
  6. Step 6: Final answer
    x = 4,519.20

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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.