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Finding the Fourth Proportional to 3,842.78, 5,302.71 and 2,141.16

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Solution

The fourth proportional to 3,842.78, 5,302.71 and 2,141.16 is: 2,954.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.78 : 5,302.71 = 2,141.16 : x
  2. Step 2: Convert to fraction form
    3,842.78/5,302.71 = 2,141.16/x
  3. Step 3: Cross multiply
    3,842.78x = 5,302.71 × 2,141.16
  4. Step 4: Simplify right side
    3,842.78x = 11,353,950.54
  5. Step 5: Solve for x
    x = 11,353,950.54/3,842.78
  6. Step 6: Final answer
    x = 2,954.62

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1.5x scale

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.