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Finding the Fourth Proportional to 3,442.54, 4,775.08 and 3,324.53

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Solution

The fourth proportional to 3,442.54, 4,775.08 and 3,324.53 is: 4,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.54 : 4,775.08 = 3,324.53 : x
  2. Step 2: Convert to fraction form
    3,442.54/4,775.08 = 3,324.53/x
  3. Step 3: Cross multiply
    3,442.54x = 4,775.08 × 3,324.53
  4. Step 4: Simplify right side
    3,442.54x = 15,874,868.15
  5. Step 5: Solve for x
    x = 15,874,868.15/3,442.54
  6. Step 6: Final answer
    x = 4,611.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.