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Finding the Fourth Proportional to 6,591.53, 9,096.40 and 3,938.42

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Solution

The fourth proportional to 6,591.53, 9,096.40 and 3,938.42 is: 5,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.53 : 9,096.40 = 3,938.42 : x
  2. Step 2: Convert to fraction form
    6,591.53/9,096.40 = 3,938.42/x
  3. Step 3: Cross multiply
    6,591.53x = 9,096.40 × 3,938.42
  4. Step 4: Simplify right side
    6,591.53x = 35,825,471.35
  5. Step 5: Solve for x
    x = 35,825,471.35/6,591.53
  6. Step 6: Final answer
    x = 5,435.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.