Home / 3,542.64-5,314-1,077.46

Finding the Fourth Proportional to 3,542.64, 5,314 and 1,077.46

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Solution

The fourth proportional to 3,542.64, 5,314 and 1,077.46 is: 1,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.64 : 5,314 = 1,077.46 : x
  2. Step 2: Convert to fraction form
    3,542.64/5,314 = 1,077.46/x
  3. Step 3: Cross multiply
    3,542.64x = 5,314 × 1,077.46
  4. Step 4: Simplify right side
    3,542.64x = 5,725,622.44
  5. Step 5: Solve for x
    x = 5,725,622.44/3,542.64
  6. Step 6: Final answer
    x = 1,616.20

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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.