Home / 5,464-8,204.18-3,126.64

Finding the Fourth Proportional to 5,464, 8,204.18 and 3,126.64

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Solution

The fourth proportional to 5,464, 8,204.18 and 3,126.64 is: 4,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464 : 8,204.18 = 3,126.64 : x
  2. Step 2: Convert to fraction form
    5,464/8,204.18 = 3,126.64/x
  3. Step 3: Cross multiply
    5,464x = 8,204.18 × 3,126.64
  4. Step 4: Simplify right side
    5,464x = 25,651,517.36
  5. Step 5: Solve for x
    x = 25,651,517.36/5,464
  6. Step 6: Final answer
    x = 4,694.64

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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.