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Finding the Fourth Proportional to 4,472.60, 6,708.90 and 2,004.80

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Solution

The fourth proportional to 4,472.60, 6,708.90 and 2,004.80 is: 3,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.60 : 6,708.90 = 2,004.80 : x
  2. Step 2: Convert to fraction form
    4,472.60/6,708.90 = 2,004.80/x
  3. Step 3: Cross multiply
    4,472.60x = 6,708.90 × 2,004.80
  4. Step 4: Simplify right side
    4,472.60x = 13,450,002.72
  5. Step 5: Solve for x
    x = 13,450,002.72/4,472.60
  6. Step 6: Final answer
    x = 3,007.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.