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Finding the Fourth Proportional to 3,496.01, 5,242.87 and 1,155.47

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Solution

The fourth proportional to 3,496.01, 5,242.87 and 1,155.47 is: 1,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.01 : 5,242.87 = 1,155.47 : x
  2. Step 2: Convert to fraction form
    3,496.01/5,242.87 = 1,155.47/x
  3. Step 3: Cross multiply
    3,496.01x = 5,242.87 × 1,155.47
  4. Step 4: Simplify right side
    3,496.01x = 6,057,979.00
  5. Step 5: Solve for x
    x = 6,057,979.00/3,496.01
  6. Step 6: Final answer
    x = 1,732.83

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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.