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Finding the Fourth Proportional to 7,197.38, 10,780.40 and 3,491.76

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Solution

The fourth proportional to 7,197.38, 10,780.40 and 3,491.76 is: 5,230.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.38 : 10,780.40 = 3,491.76 : x
  2. Step 2: Convert to fraction form
    7,197.38/10,780.40 = 3,491.76/x
  3. Step 3: Cross multiply
    7,197.38x = 10,780.40 × 3,491.76
  4. Step 4: Simplify right side
    7,197.38x = 37,642,569.50
  5. Step 5: Solve for x
    x = 37,642,569.50/7,197.38
  6. Step 6: Final answer
    x = 5,230.04

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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.