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Finding the Fourth Proportional to 5,602.32, 7,734.42 and 3,880.80

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Solution

The fourth proportional to 5,602.32, 7,734.42 and 3,880.80 is: 5,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.32 : 7,734.42 = 3,880.80 : x
  2. Step 2: Convert to fraction form
    5,602.32/7,734.42 = 3,880.80/x
  3. Step 3: Cross multiply
    5,602.32x = 7,734.42 × 3,880.80
  4. Step 4: Simplify right side
    5,602.32x = 30,015,737.14
  5. Step 5: Solve for x
    x = 30,015,737.14/5,602.32
  6. Step 6: Final answer
    x = 5,357.73

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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.