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Finding the Fourth Proportional to 3,429.88, 5,140.68 and 1,578.46

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Solution

The fourth proportional to 3,429.88, 5,140.68 and 1,578.46 is: 2,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.88 : 5,140.68 = 1,578.46 : x
  2. Step 2: Convert to fraction form
    3,429.88/5,140.68 = 1,578.46/x
  3. Step 3: Cross multiply
    3,429.88x = 5,140.68 × 1,578.46
  4. Step 4: Simplify right side
    3,429.88x = 8,114,357.75
  5. Step 5: Solve for x
    x = 8,114,357.75/3,429.88
  6. Step 6: Final answer
    x = 2,365.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.