Home / 3,278.40-4,916.16-969.36

Finding the Fourth Proportional to 3,278.40, 4,916.16 and 969.36

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Solution

The fourth proportional to 3,278.40, 4,916.16 and 969.36 is: 1,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.40 : 4,916.16 = 969.36 : x
  2. Step 2: Convert to fraction form
    3,278.40/4,916.16 = 969.36/x
  3. Step 3: Cross multiply
    3,278.40x = 4,916.16 × 969.36
  4. Step 4: Simplify right side
    3,278.40x = 4,765,528.86
  5. Step 5: Solve for x
    x = 4,765,528.86/3,278.40
  6. Step 6: Final answer
    x = 1,453.61

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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.