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Finding the Fourth Proportional to 3,160.38, 4,369.32 and 3,022.68

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Solution

The fourth proportional to 3,160.38, 4,369.32 and 3,022.68 is: 4,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.38 : 4,369.32 = 3,022.68 : x
  2. Step 2: Convert to fraction form
    3,160.38/4,369.32 = 3,022.68/x
  3. Step 3: Cross multiply
    3,160.38x = 4,369.32 × 3,022.68
  4. Step 4: Simplify right side
    3,160.38x = 13,207,056.18
  5. Step 5: Solve for x
    x = 13,207,056.18/3,160.38
  6. Step 6: Final answer
    x = 4,178.95

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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.