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Finding the Fourth Proportional to 3,854.36, 5,318.70 and 2,176.17

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Solution

The fourth proportional to 3,854.36, 5,318.70 and 2,176.17 is: 3,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.36 : 5,318.70 = 2,176.17 : x
  2. Step 2: Convert to fraction form
    3,854.36/5,318.70 = 2,176.17/x
  3. Step 3: Cross multiply
    3,854.36x = 5,318.70 × 2,176.17
  4. Step 4: Simplify right side
    3,854.36x = 11,574,395.38
  5. Step 5: Solve for x
    x = 11,574,395.38/3,854.36
  6. Step 6: Final answer
    x = 3,002.94

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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.