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Finding the Fourth Proportional to 5,351.40, 7,378.02 and 4,301.64

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Solution

The fourth proportional to 5,351.40, 7,378.02 and 4,301.64 is: 5,930.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.40 : 7,378.02 = 4,301.64 : x
  2. Step 2: Convert to fraction form
    5,351.40/7,378.02 = 4,301.64/x
  3. Step 3: Cross multiply
    5,351.40x = 7,378.02 × 4,301.64
  4. Step 4: Simplify right side
    5,351.40x = 31,737,585.95
  5. Step 5: Solve for x
    x = 31,737,585.95/5,351.40
  6. Step 6: Final answer
    x = 5,930.71

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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.