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Finding the Fourth Proportional to 3,347.47, 5,022.42 and 1,156.42

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Solution

The fourth proportional to 3,347.47, 5,022.42 and 1,156.42 is: 1,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.47 : 5,022.42 = 1,156.42 : x
  2. Step 2: Convert to fraction form
    3,347.47/5,022.42 = 1,156.42/x
  3. Step 3: Cross multiply
    3,347.47x = 5,022.42 × 1,156.42
  4. Step 4: Simplify right side
    3,347.47x = 5,807,996.04
  5. Step 5: Solve for x
    x = 5,807,996.04/3,347.47
  6. Step 6: Final answer
    x = 1,735.04

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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.