Home / 3,464.16-5,195.92-1,412

Finding the Fourth Proportional to 3,464.16, 5,195.92 and 1,412

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Solution

The fourth proportional to 3,464.16, 5,195.92 and 1,412 is: 2,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.16 : 5,195.92 = 1,412 : x
  2. Step 2: Convert to fraction form
    3,464.16/5,195.92 = 1,412/x
  3. Step 3: Cross multiply
    3,464.16x = 5,195.92 × 1,412
  4. Step 4: Simplify right side
    3,464.16x = 7,336,639.04
  5. Step 5: Solve for x
    x = 7,336,639.04/3,464.16
  6. Step 6: Final answer
    x = 2,117.87

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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.