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Finding the Fourth Proportional to 3,843.84, 5,298.12 and 2,723.34

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Solution

The fourth proportional to 3,843.84, 5,298.12 and 2,723.34 is: 3,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.84 : 5,298.12 = 2,723.34 : x
  2. Step 2: Convert to fraction form
    3,843.84/5,298.12 = 2,723.34/x
  3. Step 3: Cross multiply
    3,843.84x = 5,298.12 × 2,723.34
  4. Step 4: Simplify right side
    3,843.84x = 14,428,582.12
  5. Step 5: Solve for x
    x = 14,428,582.12/3,843.84
  6. Step 6: Final answer
    x = 3,753.69

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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.