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Finding the Fourth Proportional to 6,036.38, 8,330.28 and 3,678.74

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Solution

The fourth proportional to 6,036.38, 8,330.28 and 3,678.74 is: 5,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.38 : 8,330.28 = 3,678.74 : x
  2. Step 2: Convert to fraction form
    6,036.38/8,330.28 = 3,678.74/x
  3. Step 3: Cross multiply
    6,036.38x = 8,330.28 × 3,678.74
  4. Step 4: Simplify right side
    6,036.38x = 30,644,934.25
  5. Step 5: Solve for x
    x = 30,644,934.25/6,036.38
  6. Step 6: Final answer
    x = 5,076.71

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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.