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Finding the Fourth Proportional to 5,608.64, 7,737.42 and 3,249.42

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Solution

The fourth proportional to 5,608.64, 7,737.42 and 3,249.42 is: 4,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.64 : 7,737.42 = 3,249.42 : x
  2. Step 2: Convert to fraction form
    5,608.64/7,737.42 = 3,249.42/x
  3. Step 3: Cross multiply
    5,608.64x = 7,737.42 × 3,249.42
  4. Step 4: Simplify right side
    5,608.64x = 25,142,110.47
  5. Step 5: Solve for x
    x = 25,142,110.47/5,608.64
  6. Step 6: Final answer
    x = 4,482.74

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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.