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Finding the Fourth Proportional to 4,382.70, 6,542.09 and 3,829.11

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Solution

The fourth proportional to 4,382.70, 6,542.09 and 3,829.11 is: 5,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.70 : 6,542.09 = 3,829.11 : x
  2. Step 2: Convert to fraction form
    4,382.70/6,542.09 = 3,829.11/x
  3. Step 3: Cross multiply
    4,382.70x = 6,542.09 × 3,829.11
  4. Step 4: Simplify right side
    4,382.70x = 25,050,382.24
  5. Step 5: Solve for x
    x = 25,050,382.24/4,382.70
  6. Step 6: Final answer
    x = 5,715.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.