Home / 3,442.28-5,162.63-976.43

Finding the Fourth Proportional to 3,442.28, 5,162.63 and 976.43

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Solution

The fourth proportional to 3,442.28, 5,162.63 and 976.43 is: 1,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.28 : 5,162.63 = 976.43 : x
  2. Step 2: Convert to fraction form
    3,442.28/5,162.63 = 976.43/x
  3. Step 3: Cross multiply
    3,442.28x = 5,162.63 × 976.43
  4. Step 4: Simplify right side
    3,442.28x = 5,040,916.12
  5. Step 5: Solve for x
    x = 5,040,916.12/3,442.28
  6. Step 6: Final answer
    x = 1,464.41

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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.