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Finding the Fourth Proportional to 3,487.42, 5,230.56 and 1,147.46

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Solution

The fourth proportional to 3,487.42, 5,230.56 and 1,147.46 is: 1,720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.42 : 5,230.56 = 1,147.46 : x
  2. Step 2: Convert to fraction form
    3,487.42/5,230.56 = 1,147.46/x
  3. Step 3: Cross multiply
    3,487.42x = 5,230.56 × 1,147.46
  4. Step 4: Simplify right side
    3,487.42x = 6,001,826.49
  5. Step 5: Solve for x
    x = 6,001,826.49/3,487.42
  6. Step 6: Final answer
    x = 1,720.99

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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.