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Finding the Fourth Proportional to 3,442, 5,162.40 and 976.48

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Solution

The fourth proportional to 3,442, 5,162.40 and 976.48 is: 1,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442 : 5,162.40 = 976.48 : x
  2. Step 2: Convert to fraction form
    3,442/5,162.40 = 976.48/x
  3. Step 3: Cross multiply
    3,442x = 5,162.40 × 976.48
  4. Step 4: Simplify right side
    3,442x = 5,040,980.35
  5. Step 5: Solve for x
    x = 5,040,980.35/3,442
  6. Step 6: Final answer
    x = 1,464.55

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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.