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Finding the Fourth Proportional to 5,698.52, 7,864.49 and 3,180.86

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Solution

The fourth proportional to 5,698.52, 7,864.49 and 3,180.86 is: 4,389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.52 : 7,864.49 = 3,180.86 : x
  2. Step 2: Convert to fraction form
    5,698.52/7,864.49 = 3,180.86/x
  3. Step 3: Cross multiply
    5,698.52x = 7,864.49 × 3,180.86
  4. Step 4: Simplify right side
    5,698.52x = 25,015,841.66
  5. Step 5: Solve for x
    x = 25,015,841.66/5,698.52
  6. Step 6: Final answer
    x = 4,389.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.