Home / 3,465.84-5,200.24-1,822

Finding the Fourth Proportional to 3,465.84, 5,200.24 and 1,822

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Solution

The fourth proportional to 3,465.84, 5,200.24 and 1,822 is: 2,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.84 : 5,200.24 = 1,822 : x
  2. Step 2: Convert to fraction form
    3,465.84/5,200.24 = 1,822/x
  3. Step 3: Cross multiply
    3,465.84x = 5,200.24 × 1,822
  4. Step 4: Simplify right side
    3,465.84x = 9,474,837.28
  5. Step 5: Solve for x
    x = 9,474,837.28/3,465.84
  6. Step 6: Final answer
    x = 2,733.78

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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.