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Finding the Fourth Proportional to 3,228.86, 4,843.14 and 1,148.88

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Solution

The fourth proportional to 3,228.86, 4,843.14 and 1,148.88 is: 1,723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.86 : 4,843.14 = 1,148.88 : x
  2. Step 2: Convert to fraction form
    3,228.86/4,843.14 = 1,148.88/x
  3. Step 3: Cross multiply
    3,228.86x = 4,843.14 × 1,148.88
  4. Step 4: Simplify right side
    3,228.86x = 5,564,207.00
  5. Step 5: Solve for x
    x = 5,564,207.00/3,228.86
  6. Step 6: Final answer
    x = 1,723.27

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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.