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Finding the Fourth Proportional to 3,294.38, 4,941.56 and 1,538.79

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Solution

The fourth proportional to 3,294.38, 4,941.56 and 1,538.79 is: 2,308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.38 : 4,941.56 = 1,538.79 : x
  2. Step 2: Convert to fraction form
    3,294.38/4,941.56 = 1,538.79/x
  3. Step 3: Cross multiply
    3,294.38x = 4,941.56 × 1,538.79
  4. Step 4: Simplify right side
    3,294.38x = 7,604,015.42
  5. Step 5: Solve for x
    x = 7,604,015.42/3,294.38
  6. Step 6: Final answer
    x = 2,308.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.