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Finding the Fourth Proportional to 3,872.08, 5,341.02 and 2,299

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Solution

The fourth proportional to 3,872.08, 5,341.02 and 2,299 is: 3,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.08 : 5,341.02 = 2,299 : x
  2. Step 2: Convert to fraction form
    3,872.08/5,341.02 = 2,299/x
  3. Step 3: Cross multiply
    3,872.08x = 5,341.02 × 2,299
  4. Step 4: Simplify right side
    3,872.08x = 12,279,004.98
  5. Step 5: Solve for x
    x = 12,279,004.98/3,872.08
  6. Step 6: Final answer
    x = 3,171.17

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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.