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Finding the Fourth Proportional to 3,334.62, 5,002.22 and 869.44

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Solution

The fourth proportional to 3,334.62, 5,002.22 and 869.44 is: 1,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.62 : 5,002.22 = 869.44 : x
  2. Step 2: Convert to fraction form
    3,334.62/5,002.22 = 869.44/x
  3. Step 3: Cross multiply
    3,334.62x = 5,002.22 × 869.44
  4. Step 4: Simplify right side
    3,334.62x = 4,349,130.16
  5. Step 5: Solve for x
    x = 4,349,130.16/3,334.62
  6. Step 6: Final answer
    x = 1,304.24

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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.