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Finding the Fourth Proportional to 3,872.07, 5,343.92 and 2,300.17

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Solution

The fourth proportional to 3,872.07, 5,343.92 and 2,300.17 is: 3,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.07 : 5,343.92 = 2,300.17 : x
  2. Step 2: Convert to fraction form
    3,872.07/5,343.92 = 2,300.17/x
  3. Step 3: Cross multiply
    3,872.07x = 5,343.92 × 2,300.17
  4. Step 4: Simplify right side
    3,872.07x = 12,291,909.12
  5. Step 5: Solve for x
    x = 12,291,909.12/3,872.07
  6. Step 6: Final answer
    x = 3,174.50

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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.