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Finding the Fourth Proportional to 3,982.72, 5,494.57 and 2,303.82

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Solution

The fourth proportional to 3,982.72, 5,494.57 and 2,303.82 is: 3,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.72 : 5,494.57 = 2,303.82 : x
  2. Step 2: Convert to fraction form
    3,982.72/5,494.57 = 2,303.82/x
  3. Step 3: Cross multiply
    3,982.72x = 5,494.57 × 2,303.82
  4. Step 4: Simplify right side
    3,982.72x = 12,658,500.26
  5. Step 5: Solve for x
    x = 12,658,500.26/3,982.72
  6. Step 6: Final answer
    x = 3,178.36

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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.