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Finding the Fourth Proportional to 3,542.83, 5,314.88 and 1,461.68

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Solution

The fourth proportional to 3,542.83, 5,314.88 and 1,461.68 is: 2,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.83 : 5,314.88 = 1,461.68 : x
  2. Step 2: Convert to fraction form
    3,542.83/5,314.88 = 1,461.68/x
  3. Step 3: Cross multiply
    3,542.83x = 5,314.88 × 1,461.68
  4. Step 4: Simplify right side
    3,542.83x = 7,768,653.80
  5. Step 5: Solve for x
    x = 7,768,653.80/3,542.83
  6. Step 6: Final answer
    x = 2,192.78

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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.