Home / 3,422-4,720.88-2,095.20

Finding the Fourth Proportional to 3,422, 4,720.88 and 2,095.20

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Solution

The fourth proportional to 3,422, 4,720.88 and 2,095.20 is: 2,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422 : 4,720.88 = 2,095.20 : x
  2. Step 2: Convert to fraction form
    3,422/4,720.88 = 2,095.20/x
  3. Step 3: Cross multiply
    3,422x = 4,720.88 × 2,095.20
  4. Step 4: Simplify right side
    3,422x = 9,891,187.78
  5. Step 5: Solve for x
    x = 9,891,187.78/3,422
  6. Step 6: Final answer
    x = 2,890.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.