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Finding the Fourth Proportional to 3,822.42, 5,278.06 and 3,114.38

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Solution

The fourth proportional to 3,822.42, 5,278.06 and 3,114.38 is: 4,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.42 : 5,278.06 = 3,114.38 : x
  2. Step 2: Convert to fraction form
    3,822.42/5,278.06 = 3,114.38/x
  3. Step 3: Cross multiply
    3,822.42x = 5,278.06 × 3,114.38
  4. Step 4: Simplify right side
    3,822.42x = 16,437,901.59
  5. Step 5: Solve for x
    x = 16,437,901.59/3,822.42
  6. Step 6: Final answer
    x = 4,300.39

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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.