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Finding the Fourth Proportional to 5,634.53, 7,770.92 and 4,221.53

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Solution

The fourth proportional to 5,634.53, 7,770.92 and 4,221.53 is: 5,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.53 : 7,770.92 = 4,221.53 : x
  2. Step 2: Convert to fraction form
    5,634.53/7,770.92 = 4,221.53/x
  3. Step 3: Cross multiply
    5,634.53x = 7,770.92 × 4,221.53
  4. Step 4: Simplify right side
    5,634.53x = 32,805,150.80
  5. Step 5: Solve for x
    x = 32,805,150.80/5,634.53
  6. Step 6: Final answer
    x = 5,822.16

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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.