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Finding the Fourth Proportional to 5,204.66, 7,815.49 and 4,388.18

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Solution

The fourth proportional to 5,204.66, 7,815.49 and 4,388.18 is: 6,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.66 : 7,815.49 = 4,388.18 : x
  2. Step 2: Convert to fraction form
    5,204.66/7,815.49 = 4,388.18/x
  3. Step 3: Cross multiply
    5,204.66x = 7,815.49 × 4,388.18
  4. Step 4: Simplify right side
    5,204.66x = 34,295,726.86
  5. Step 5: Solve for x
    x = 34,295,726.86/5,204.66
  6. Step 6: Final answer
    x = 6,589.43

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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.