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Finding the Fourth Proportional to 4,695.45, 6,478.66 and 2,806.72

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Solution

The fourth proportional to 4,695.45, 6,478.66 and 2,806.72 is: 3,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.45 : 6,478.66 = 2,806.72 : x
  2. Step 2: Convert to fraction form
    4,695.45/6,478.66 = 2,806.72/x
  3. Step 3: Cross multiply
    4,695.45x = 6,478.66 × 2,806.72
  4. Step 4: Simplify right side
    4,695.45x = 18,183,761.38
  5. Step 5: Solve for x
    x = 18,183,761.38/4,695.45
  6. Step 6: Final answer
    x = 3,872.63

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Why These Related Problems?

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