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Finding the Fourth Proportional to 5,221.78, 7,832.65 and 1,326.18

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Solution

The fourth proportional to 5,221.78, 7,832.65 and 1,326.18 is: 1,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.78 : 7,832.65 = 1,326.18 : x
  2. Step 2: Convert to fraction form
    5,221.78/7,832.65 = 1,326.18/x
  3. Step 3: Cross multiply
    5,221.78x = 7,832.65 × 1,326.18
  4. Step 4: Simplify right side
    5,221.78x = 10,387,503.78
  5. Step 5: Solve for x
    x = 10,387,503.78/5,221.78
  6. Step 6: Final answer
    x = 1,989.26

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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.