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Finding the Fourth Proportional to 3,542.64, 5,313.80 and 1,462.05

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Solution

The fourth proportional to 3,542.64, 5,313.80 and 1,462.05 is: 2,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.64 : 5,313.80 = 1,462.05 : x
  2. Step 2: Convert to fraction form
    3,542.64/5,313.80 = 1,462.05/x
  3. Step 3: Cross multiply
    3,542.64x = 5,313.80 × 1,462.05
  4. Step 4: Simplify right side
    3,542.64x = 7,769,044.95
  5. Step 5: Solve for x
    x = 7,769,044.95/3,542.64
  6. Step 6: Final answer
    x = 2,193.01

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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.