Home / 4,155.12-5,733.84-2,292

Finding the Fourth Proportional to 4,155.12, 5,733.84 and 2,292

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Solution

The fourth proportional to 4,155.12, 5,733.84 and 2,292 is: 3,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.12 : 5,733.84 = 2,292 : x
  2. Step 2: Convert to fraction form
    4,155.12/5,733.84 = 2,292/x
  3. Step 3: Cross multiply
    4,155.12x = 5,733.84 × 2,292
  4. Step 4: Simplify right side
    4,155.12x = 13,141,961.28
  5. Step 5: Solve for x
    x = 13,141,961.28/4,155.12
  6. Step 6: Final answer
    x = 3,162.84

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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.