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Finding the Fourth Proportional to 3,487.99, 5,231.40 and 1,148.02

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Solution

The fourth proportional to 3,487.99, 5,231.40 and 1,148.02 is: 1,721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.99 : 5,231.40 = 1,148.02 : x
  2. Step 2: Convert to fraction form
    3,487.99/5,231.40 = 1,148.02/x
  3. Step 3: Cross multiply
    3,487.99x = 5,231.40 × 1,148.02
  4. Step 4: Simplify right side
    3,487.99x = 6,005,725.67
  5. Step 5: Solve for x
    x = 6,005,725.67/3,487.99
  6. Step 6: Final answer
    x = 1,721.83

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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.