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Finding the Fourth Proportional to 3,487.01, 5,231.07 and 1,146.33

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Solution

The fourth proportional to 3,487.01, 5,231.07 and 1,146.33 is: 1,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.01 : 5,231.07 = 1,146.33 : x
  2. Step 2: Convert to fraction form
    3,487.01/5,231.07 = 1,146.33/x
  3. Step 3: Cross multiply
    3,487.01x = 5,231.07 × 1,146.33
  4. Step 4: Simplify right side
    3,487.01x = 5,996,532.47
  5. Step 5: Solve for x
    x = 5,996,532.47/3,487.01
  6. Step 6: Final answer
    x = 1,719.68

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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.