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Finding the Fourth Proportional to 4,306.28, 6,464.28 and 1,711.04

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Solution

The fourth proportional to 4,306.28, 6,464.28 and 1,711.04 is: 2,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.28 : 6,464.28 = 1,711.04 : x
  2. Step 2: Convert to fraction form
    4,306.28/6,464.28 = 1,711.04/x
  3. Step 3: Cross multiply
    4,306.28x = 6,464.28 × 1,711.04
  4. Step 4: Simplify right side
    4,306.28x = 11,060,641.65
  5. Step 5: Solve for x
    x = 11,060,641.65/4,306.28
  6. Step 6: Final answer
    x = 2,568.49

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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.