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Finding the Fourth Proportional to 3,854.69, 5,320.78 and 2,969.36

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Solution

The fourth proportional to 3,854.69, 5,320.78 and 2,969.36 is: 4,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.69 : 5,320.78 = 2,969.36 : x
  2. Step 2: Convert to fraction form
    3,854.69/5,320.78 = 2,969.36/x
  3. Step 3: Cross multiply
    3,854.69x = 5,320.78 × 2,969.36
  4. Step 4: Simplify right side
    3,854.69x = 15,799,311.30
  5. Step 5: Solve for x
    x = 15,799,311.30/3,854.69
  6. Step 6: Final answer
    x = 4,098.72

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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.