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Finding the Fourth Proportional to 3,895.02, 5,842.26 and 2,414.52

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Solution

The fourth proportional to 3,895.02, 5,842.26 and 2,414.52 is: 3,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.02 : 5,842.26 = 2,414.52 : x
  2. Step 2: Convert to fraction form
    3,895.02/5,842.26 = 2,414.52/x
  3. Step 3: Cross multiply
    3,895.02x = 5,842.26 × 2,414.52
  4. Step 4: Simplify right side
    3,895.02x = 14,106,253.62
  5. Step 5: Solve for x
    x = 14,106,253.62/3,895.02
  6. Step 6: Final answer
    x = 3,621.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.