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Finding the Fourth Proportional to 3,294.59, 4,939.11 and 1,538.68

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Solution

The fourth proportional to 3,294.59, 4,939.11 and 1,538.68 is: 2,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.59 : 4,939.11 = 1,538.68 : x
  2. Step 2: Convert to fraction form
    3,294.59/4,939.11 = 1,538.68/x
  3. Step 3: Cross multiply
    3,294.59x = 4,939.11 × 1,538.68
  4. Step 4: Simplify right side
    3,294.59x = 7,599,697.43
  5. Step 5: Solve for x
    x = 7,599,697.43/3,294.59
  6. Step 6: Final answer
    x = 2,306.72

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Why These Related Problems?

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