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Finding the Fourth Proportional to 3,649.30, 5,034.27 and 3,151.78

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Solution

The fourth proportional to 3,649.30, 5,034.27 and 3,151.78 is: 4,347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.30 : 5,034.27 = 3,151.78 : x
  2. Step 2: Convert to fraction form
    3,649.30/5,034.27 = 3,151.78/x
  3. Step 3: Cross multiply
    3,649.30x = 5,034.27 × 3,151.78
  4. Step 4: Simplify right side
    3,649.30x = 15,866,911.50
  5. Step 5: Solve for x
    x = 15,866,911.50/3,649.30
  6. Step 6: Final answer
    x = 4,347.93

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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.