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Finding the Fourth Proportional to 3,867.04, 5,806.49 and 3,408.68

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Solution

The fourth proportional to 3,867.04, 5,806.49 and 3,408.68 is: 5,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.04 : 5,806.49 = 3,408.68 : x
  2. Step 2: Convert to fraction form
    3,867.04/5,806.49 = 3,408.68/x
  3. Step 3: Cross multiply
    3,867.04x = 5,806.49 × 3,408.68
  4. Step 4: Simplify right side
    3,867.04x = 19,792,463.81
  5. Step 5: Solve for x
    x = 19,792,463.81/3,867.04
  6. Step 6: Final answer
    x = 5,118.24

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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.