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Finding the Fourth Proportional to 3,452.16, 4,768.82 and 3,079

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Solution

The fourth proportional to 3,452.16, 4,768.82 and 3,079 is: 4,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.16 : 4,768.82 = 3,079 : x
  2. Step 2: Convert to fraction form
    3,452.16/4,768.82 = 3,079/x
  3. Step 3: Cross multiply
    3,452.16x = 4,768.82 × 3,079
  4. Step 4: Simplify right side
    3,452.16x = 14,683,196.78
  5. Step 5: Solve for x
    x = 14,683,196.78/3,452.16
  6. Step 6: Final answer
    x = 4,253.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.