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Finding the Fourth Proportional to 3,895.44, 5,842.43 and 1,045.97

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Solution

The fourth proportional to 3,895.44, 5,842.43 and 1,045.97 is: 1,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.44 : 5,842.43 = 1,045.97 : x
  2. Step 2: Convert to fraction form
    3,895.44/5,842.43 = 1,045.97/x
  3. Step 3: Cross multiply
    3,895.44x = 5,842.43 × 1,045.97
  4. Step 4: Simplify right side
    3,895.44x = 6,110,979.91
  5. Step 5: Solve for x
    x = 6,110,979.91/3,895.44
  6. Step 6: Final answer
    x = 1,568.75

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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.