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Finding the Fourth Proportional to 5,405.28, 7,458.74 and 3,989.74

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Solution

The fourth proportional to 5,405.28, 7,458.74 and 3,989.74 is: 5,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.28 : 7,458.74 = 3,989.74 : x
  2. Step 2: Convert to fraction form
    5,405.28/7,458.74 = 3,989.74/x
  3. Step 3: Cross multiply
    5,405.28x = 7,458.74 × 3,989.74
  4. Step 4: Simplify right side
    5,405.28x = 29,758,433.33
  5. Step 5: Solve for x
    x = 29,758,433.33/5,405.28
  6. Step 6: Final answer
    x = 5,505.44

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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.