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Finding the Fourth Proportional to 3,381.48, 5,071.41 and 2,833.92

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Solution

The fourth proportional to 3,381.48, 5,071.41 and 2,833.92 is: 4,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.48 : 5,071.41 = 2,833.92 : x
  2. Step 2: Convert to fraction form
    3,381.48/5,071.41 = 2,833.92/x
  3. Step 3: Cross multiply
    3,381.48x = 5,071.41 × 2,833.92
  4. Step 4: Simplify right side
    3,381.48x = 14,371,970.23
  5. Step 5: Solve for x
    x = 14,371,970.23/3,381.48
  6. Step 6: Final answer
    x = 4,250.20

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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.