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Finding the Fourth Proportional to 3,466.53, 5,199.81 and 869.46

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Solution

The fourth proportional to 3,466.53, 5,199.81 and 869.46 is: 1,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.53 : 5,199.81 = 869.46 : x
  2. Step 2: Convert to fraction form
    3,466.53/5,199.81 = 869.46/x
  3. Step 3: Cross multiply
    3,466.53x = 5,199.81 × 869.46
  4. Step 4: Simplify right side
    3,466.53x = 4,521,026.80
  5. Step 5: Solve for x
    x = 4,521,026.80/3,466.53
  6. Step 6: Final answer
    x = 1,304.19

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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.