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Finding the Fourth Proportional to 3,843.34, 5,298.48 and 2,582.20

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Solution

The fourth proportional to 3,843.34, 5,298.48 and 2,582.20 is: 3,559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.34 : 5,298.48 = 2,582.20 : x
  2. Step 2: Convert to fraction form
    3,843.34/5,298.48 = 2,582.20/x
  3. Step 3: Cross multiply
    3,843.34x = 5,298.48 × 2,582.20
  4. Step 4: Simplify right side
    3,843.34x = 13,681,735.06
  5. Step 5: Solve for x
    x = 13,681,735.06/3,843.34
  6. Step 6: Final answer
    x = 3,559.86

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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.