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Finding the Fourth Proportional to 3,542.83, 5,311.16 and 1,461.53

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Solution

The fourth proportional to 3,542.83, 5,311.16 and 1,461.53 is: 2,191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.83 : 5,311.16 = 1,461.53 : x
  2. Step 2: Convert to fraction form
    3,542.83/5,311.16 = 1,461.53/x
  3. Step 3: Cross multiply
    3,542.83x = 5,311.16 × 1,461.53
  4. Step 4: Simplify right side
    3,542.83x = 7,762,431.13
  5. Step 5: Solve for x
    x = 7,762,431.13/3,542.83
  6. Step 6: Final answer
    x = 2,191.03

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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.