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Finding the Fourth Proportional to 3,792.46, 5,678.66 and 2,966.88

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Solution

The fourth proportional to 3,792.46, 5,678.66 and 2,966.88 is: 4,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.46 : 5,678.66 = 2,966.88 : x
  2. Step 2: Convert to fraction form
    3,792.46/5,678.66 = 2,966.88/x
  3. Step 3: Cross multiply
    3,792.46x = 5,678.66 × 2,966.88
  4. Step 4: Simplify right side
    3,792.46x = 16,847,902.78
  5. Step 5: Solve for x
    x = 16,847,902.78/3,792.46
  6. Step 6: Final answer
    x = 4,442.47

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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.