Home / 3,829.24-5,744-1,363.15

Finding the Fourth Proportional to 3,829.24, 5,744 and 1,363.15

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Solution

The fourth proportional to 3,829.24, 5,744 and 1,363.15 is: 2,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.24 : 5,744 = 1,363.15 : x
  2. Step 2: Convert to fraction form
    3,829.24/5,744 = 1,363.15/x
  3. Step 3: Cross multiply
    3,829.24x = 5,744 × 1,363.15
  4. Step 4: Simplify right side
    3,829.24x = 7,829,933.60
  5. Step 5: Solve for x
    x = 7,829,933.60/3,829.24
  6. Step 6: Final answer
    x = 2,044.77

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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.