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Finding the Fourth Proportional to 4,150.38, 5,715.79 and 3,652.84

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Solution

The fourth proportional to 4,150.38, 5,715.79 and 3,652.84 is: 5,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.38 : 5,715.79 = 3,652.84 : x
  2. Step 2: Convert to fraction form
    4,150.38/5,715.79 = 3,652.84/x
  3. Step 3: Cross multiply
    4,150.38x = 5,715.79 × 3,652.84
  4. Step 4: Simplify right side
    4,150.38x = 20,878,842.92
  5. Step 5: Solve for x
    x = 20,878,842.92/4,150.38
  6. Step 6: Final answer
    x = 5,030.59

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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.