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Finding the Fourth Proportional to 3,184.38, 4,395.22 and 2,123.82

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Solution

The fourth proportional to 3,184.38, 4,395.22 and 2,123.82 is: 2,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.38 : 4,395.22 = 2,123.82 : x
  2. Step 2: Convert to fraction form
    3,184.38/4,395.22 = 2,123.82/x
  3. Step 3: Cross multiply
    3,184.38x = 4,395.22 × 2,123.82
  4. Step 4: Simplify right side
    3,184.38x = 9,334,656.14
  5. Step 5: Solve for x
    x = 9,334,656.14/3,184.38
  6. Step 6: Final answer
    x = 2,931.39

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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.