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Finding the Fourth Proportional to 3,847.04, 5,766.04 and 2,204.72

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Solution

The fourth proportional to 3,847.04, 5,766.04 and 2,204.72 is: 3,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.04 : 5,766.04 = 2,204.72 : x
  2. Step 2: Convert to fraction form
    3,847.04/5,766.04 = 2,204.72/x
  3. Step 3: Cross multiply
    3,847.04x = 5,766.04 × 2,204.72
  4. Step 4: Simplify right side
    3,847.04x = 12,712,503.71
  5. Step 5: Solve for x
    x = 12,712,503.71/3,847.04
  6. Step 6: Final answer
    x = 3,304.49

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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.