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Finding the Fourth Proportional to 4,147.47, 5,728.46 and 3,026.61

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Solution

The fourth proportional to 4,147.47, 5,728.46 and 3,026.61 is: 4,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.47 : 5,728.46 = 3,026.61 : x
  2. Step 2: Convert to fraction form
    4,147.47/5,728.46 = 3,026.61/x
  3. Step 3: Cross multiply
    4,147.47x = 5,728.46 × 3,026.61
  4. Step 4: Simplify right side
    4,147.47x = 17,337,799.19
  5. Step 5: Solve for x
    x = 17,337,799.19/4,147.47
  6. Step 6: Final answer
    x = 4,180.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.