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Finding the Fourth Proportional to 5,422.05, 7,478.46 and 3,932.46

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Solution

The fourth proportional to 5,422.05, 7,478.46 and 3,932.46 is: 5,423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.05 : 7,478.46 = 3,932.46 : x
  2. Step 2: Convert to fraction form
    5,422.05/7,478.46 = 3,932.46/x
  3. Step 3: Cross multiply
    5,422.05x = 7,478.46 × 3,932.46
  4. Step 4: Simplify right side
    5,422.05x = 29,408,744.81
  5. Step 5: Solve for x
    x = 29,408,744.81/5,422.05
  6. Step 6: Final answer
    x = 5,423.92

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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.