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Finding the Fourth Proportional to 3,806.49, 5,710.09 and 1,033.19

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Solution

The fourth proportional to 3,806.49, 5,710.09 and 1,033.19 is: 1,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.49 : 5,710.09 = 1,033.19 : x
  2. Step 2: Convert to fraction form
    3,806.49/5,710.09 = 1,033.19/x
  3. Step 3: Cross multiply
    3,806.49x = 5,710.09 × 1,033.19
  4. Step 4: Simplify right side
    3,806.49x = 5,899,607.89
  5. Step 5: Solve for x
    x = 5,899,607.89/3,806.49
  6. Step 6: Final answer
    x = 1,549.88

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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.