Home / 4,192-5,785.08-2,329.12

Finding the Fourth Proportional to 4,192, 5,785.08 and 2,329.12

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Solution

The fourth proportional to 4,192, 5,785.08 and 2,329.12 is: 3,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192 : 5,785.08 = 2,329.12 : x
  2. Step 2: Convert to fraction form
    4,192/5,785.08 = 2,329.12/x
  3. Step 3: Cross multiply
    4,192x = 5,785.08 × 2,329.12
  4. Step 4: Simplify right side
    4,192x = 13,474,145.53
  5. Step 5: Solve for x
    x = 13,474,145.53/4,192
  6. Step 6: Final answer
    x = 3,214.25

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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.