Home / 3,882.28-5,823.72-1,416.10

Finding the Fourth Proportional to 3,882.28, 5,823.72 and 1,416.10

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Solution

The fourth proportional to 3,882.28, 5,823.72 and 1,416.10 is: 2,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.28 : 5,823.72 = 1,416.10 : x
  2. Step 2: Convert to fraction form
    3,882.28/5,823.72 = 1,416.10/x
  3. Step 3: Cross multiply
    3,882.28x = 5,823.72 × 1,416.10
  4. Step 4: Simplify right side
    3,882.28x = 8,246,969.89
  5. Step 5: Solve for x
    x = 8,246,969.89/3,882.28
  6. Step 6: Final answer
    x = 2,124.26

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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.