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Finding the Fourth Proportional to 3,381.81, 5,073.20 and 1,042.01

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Solution

The fourth proportional to 3,381.81, 5,073.20 and 1,042.01 is: 1,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.81 : 5,073.20 = 1,042.01 : x
  2. Step 2: Convert to fraction form
    3,381.81/5,073.20 = 1,042.01/x
  3. Step 3: Cross multiply
    3,381.81x = 5,073.20 × 1,042.01
  4. Step 4: Simplify right side
    3,381.81x = 5,286,319.92
  5. Step 5: Solve for x
    x = 5,286,319.92/3,381.81
  6. Step 6: Final answer
    x = 1,563.16

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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.