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Finding the Fourth Proportional to 5,829.12, 8,748 and 3,234.24

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Solution

The fourth proportional to 5,829.12, 8,748 and 3,234.24 is: 4,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.12 : 8,748 = 3,234.24 : x
  2. Step 2: Convert to fraction form
    5,829.12/8,748 = 3,234.24/x
  3. Step 3: Cross multiply
    5,829.12x = 8,748 × 3,234.24
  4. Step 4: Simplify right side
    5,829.12x = 28,293,131.52
  5. Step 5: Solve for x
    x = 28,293,131.52/5,829.12
  6. Step 6: Final answer
    x = 4,853.76

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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.