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Finding the Fourth Proportional to 3,294.24, 4,935.90 and 2,315.56

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Solution

The fourth proportional to 3,294.24, 4,935.90 and 2,315.56 is: 3,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.24 : 4,935.90 = 2,315.56 : x
  2. Step 2: Convert to fraction form
    3,294.24/4,935.90 = 2,315.56/x
  3. Step 3: Cross multiply
    3,294.24x = 4,935.90 × 2,315.56
  4. Step 4: Simplify right side
    3,294.24x = 11,429,372.60
  5. Step 5: Solve for x
    x = 11,429,372.60/3,294.24
  6. Step 6: Final answer
    x = 3,469.50

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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.