Home / 3,826.40-5,739.76-2,284

Finding the Fourth Proportional to 3,826.40, 5,739.76 and 2,284

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Solution

The fourth proportional to 3,826.40, 5,739.76 and 2,284 is: 3,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.40 : 5,739.76 = 2,284 : x
  2. Step 2: Convert to fraction form
    3,826.40/5,739.76 = 2,284/x
  3. Step 3: Cross multiply
    3,826.40x = 5,739.76 × 2,284
  4. Step 4: Simplify right side
    3,826.40x = 13,109,611.84
  5. Step 5: Solve for x
    x = 13,109,611.84/3,826.40
  6. Step 6: Final answer
    x = 3,426.10

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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.