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Finding the Fourth Proportional to 4,865.27, 6,715.76 and 4,215.65

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Solution

The fourth proportional to 4,865.27, 6,715.76 and 4,215.65 is: 5,819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.27 : 6,715.76 = 4,215.65 : x
  2. Step 2: Convert to fraction form
    4,865.27/6,715.76 = 4,215.65/x
  3. Step 3: Cross multiply
    4,865.27x = 6,715.76 × 4,215.65
  4. Step 4: Simplify right side
    4,865.27x = 28,311,262.70
  5. Step 5: Solve for x
    x = 28,311,262.70/4,865.27
  6. Step 6: Final answer
    x = 5,819.06

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