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Finding the Fourth Proportional to 3,671.36, 5,064.17 and 2,178.22

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Solution

The fourth proportional to 3,671.36, 5,064.17 and 2,178.22 is: 3,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.36 : 5,064.17 = 2,178.22 : x
  2. Step 2: Convert to fraction form
    3,671.36/5,064.17 = 2,178.22/x
  3. Step 3: Cross multiply
    3,671.36x = 5,064.17 × 2,178.22
  4. Step 4: Simplify right side
    3,671.36x = 11,030,876.38
  5. Step 5: Solve for x
    x = 11,030,876.38/3,671.36
  6. Step 6: Final answer
    x = 3,004.57

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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.