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Finding the Fourth Proportional to 5,245.57, 7,866.33 and 2,124.78

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Solution

The fourth proportional to 5,245.57, 7,866.33 and 2,124.78 is: 3,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.57 : 7,866.33 = 2,124.78 : x
  2. Step 2: Convert to fraction form
    5,245.57/7,866.33 = 2,124.78/x
  3. Step 3: Cross multiply
    5,245.57x = 7,866.33 × 2,124.78
  4. Step 4: Simplify right side
    5,245.57x = 16,714,220.66
  5. Step 5: Solve for x
    x = 16,714,220.66/5,245.57
  6. Step 6: Final answer
    x = 3,186.35

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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.