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Finding the Fourth Proportional to 4,759.80, 7,140 and 1,472.88

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Solution

The fourth proportional to 4,759.80, 7,140 and 1,472.88 is: 2,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.80 : 7,140 = 1,472.88 : x
  2. Step 2: Convert to fraction form
    4,759.80/7,140 = 1,472.88/x
  3. Step 3: Cross multiply
    4,759.80x = 7,140 × 1,472.88
  4. Step 4: Simplify right side
    4,759.80x = 10,516,363.20
  5. Step 5: Solve for x
    x = 10,516,363.20/4,759.80
  6. Step 6: Final answer
    x = 2,209.41

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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.