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Finding the Fourth Proportional to 3,456.64, 5,185.20 and 1,147.36

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Solution

The fourth proportional to 3,456.64, 5,185.20 and 1,147.36 is: 1,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.64 : 5,185.20 = 1,147.36 : x
  2. Step 2: Convert to fraction form
    3,456.64/5,185.20 = 1,147.36/x
  3. Step 3: Cross multiply
    3,456.64x = 5,185.20 × 1,147.36
  4. Step 4: Simplify right side
    3,456.64x = 5,949,291.07
  5. Step 5: Solve for x
    x = 5,949,291.07/3,456.64
  6. Step 6: Final answer
    x = 1,721.12

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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.