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Finding the Fourth Proportional to 3,466.62, 5,200.09 and 869.58

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Solution

The fourth proportional to 3,466.62, 5,200.09 and 869.58 is: 1,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.62 : 5,200.09 = 869.58 : x
  2. Step 2: Convert to fraction form
    3,466.62/5,200.09 = 869.58/x
  3. Step 3: Cross multiply
    3,466.62x = 5,200.09 × 869.58
  4. Step 4: Simplify right side
    3,466.62x = 4,521,894.26
  5. Step 5: Solve for x
    x = 4,521,894.26/3,466.62
  6. Step 6: Final answer
    x = 1,304.41

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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.