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Finding the Fourth Proportional to 3,542.69, 4,880.45 and 2,478.47

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Solution

The fourth proportional to 3,542.69, 4,880.45 and 2,478.47 is: 3,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.69 : 4,880.45 = 2,478.47 : x
  2. Step 2: Convert to fraction form
    3,542.69/4,880.45 = 2,478.47/x
  3. Step 3: Cross multiply
    3,542.69x = 4,880.45 × 2,478.47
  4. Step 4: Simplify right side
    3,542.69x = 12,096,012.12
  5. Step 5: Solve for x
    x = 12,096,012.12/3,542.69
  6. Step 6: Final answer
    x = 3,414.36

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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.