Home / 4,024-5,552.67-2,255.35

Finding the Fourth Proportional to 4,024, 5,552.67 and 2,255.35

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Solution

The fourth proportional to 4,024, 5,552.67 and 2,255.35 is: 3,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024 : 5,552.67 = 2,255.35 : x
  2. Step 2: Convert to fraction form
    4,024/5,552.67 = 2,255.35/x
  3. Step 3: Cross multiply
    4,024x = 5,552.67 × 2,255.35
  4. Step 4: Simplify right side
    4,024x = 12,523,214.28
  5. Step 5: Solve for x
    x = 12,523,214.28/4,024
  6. Step 6: Final answer
    x = 3,112.13

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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.