Home / 3,582-4,944.24-2,184.48

Finding the Fourth Proportional to 3,582, 4,944.24 and 2,184.48

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Solution

The fourth proportional to 3,582, 4,944.24 and 2,184.48 is: 3,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582 : 4,944.24 = 2,184.48 : x
  2. Step 2: Convert to fraction form
    3,582/4,944.24 = 2,184.48/x
  3. Step 3: Cross multiply
    3,582x = 4,944.24 × 2,184.48
  4. Step 4: Simplify right side
    3,582x = 10,800,593.40
  5. Step 5: Solve for x
    x = 10,800,593.40/3,582
  6. Step 6: Final answer
    x = 3,015.24

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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.