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Finding the Fourth Proportional to 5,616.86, 8,425.23 and 1,456.85

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Solution

The fourth proportional to 5,616.86, 8,425.23 and 1,456.85 is: 2,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.86 : 8,425.23 = 1,456.85 : x
  2. Step 2: Convert to fraction form
    5,616.86/8,425.23 = 1,456.85/x
  3. Step 3: Cross multiply
    5,616.86x = 8,425.23 × 1,456.85
  4. Step 4: Simplify right side
    5,616.86x = 12,274,254.20
  5. Step 5: Solve for x
    x = 12,274,254.20/5,616.86
  6. Step 6: Final answer
    x = 2,185.25

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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.