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Finding the Fourth Proportional to 5,330.27, 7,357.64 and 3,446.75

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Solution

The fourth proportional to 5,330.27, 7,357.64 and 3,446.75 is: 4,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.27 : 7,357.64 = 3,446.75 : x
  2. Step 2: Convert to fraction form
    5,330.27/7,357.64 = 3,446.75/x
  3. Step 3: Cross multiply
    5,330.27x = 7,357.64 × 3,446.75
  4. Step 4: Simplify right side
    5,330.27x = 25,359,946.83
  5. Step 5: Solve for x
    x = 25,359,946.83/5,330.27
  6. Step 6: Final answer
    x = 4,757.72

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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.