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Finding the Fourth Proportional to 3,542.56, 5,309.87 and 1,460.05

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Solution

The fourth proportional to 3,542.56, 5,309.87 and 1,460.05 is: 2,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.56 : 5,309.87 = 1,460.05 : x
  2. Step 2: Convert to fraction form
    3,542.56/5,309.87 = 1,460.05/x
  3. Step 3: Cross multiply
    3,542.56x = 5,309.87 × 1,460.05
  4. Step 4: Simplify right side
    3,542.56x = 7,752,675.69
  5. Step 5: Solve for x
    x = 7,752,675.69/3,542.56
  6. Step 6: Final answer
    x = 2,188.44

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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.