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Finding the Fourth Proportional to 6,096.38, 8,407.18 and 3,706.76

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Solution

The fourth proportional to 6,096.38, 8,407.18 and 3,706.76 is: 5,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.38 : 8,407.18 = 3,706.76 : x
  2. Step 2: Convert to fraction form
    6,096.38/8,407.18 = 3,706.76/x
  3. Step 3: Cross multiply
    6,096.38x = 8,407.18 × 3,706.76
  4. Step 4: Simplify right side
    6,096.38x = 31,163,337.97
  5. Step 5: Solve for x
    x = 31,163,337.97/6,096.38
  6. Step 6: Final answer
    x = 5,111.78

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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.