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Finding the Fourth Proportional to 5,806, 8,008.86 and 3,448

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Solution

The fourth proportional to 5,806, 8,008.86 and 3,448 is: 4,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806 : 8,008.86 = 3,448 : x
  2. Step 2: Convert to fraction form
    5,806/8,008.86 = 3,448/x
  3. Step 3: Cross multiply
    5,806x = 8,008.86 × 3,448
  4. Step 4: Simplify right side
    5,806x = 27,614,549.28
  5. Step 5: Solve for x
    x = 27,614,549.28/5,806
  6. Step 6: Final answer
    x = 4,756.21

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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.