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Finding the Fourth Proportional to 5,628, 7,767.12 and 3,144.48

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Solution

The fourth proportional to 5,628, 7,767.12 and 3,144.48 is: 4,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628 : 7,767.12 = 3,144.48 : x
  2. Step 2: Convert to fraction form
    5,628/7,767.12 = 3,144.48/x
  3. Step 3: Cross multiply
    5,628x = 7,767.12 × 3,144.48
  4. Step 4: Simplify right side
    5,628x = 24,423,553.50
  5. Step 5: Solve for x
    x = 24,423,553.50/5,628
  6. Step 6: Final answer
    x = 4,339.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.