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Finding the Fourth Proportional to 3,855.96, 5,752.68 and 3,538.80

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Solution

The fourth proportional to 3,855.96, 5,752.68 and 3,538.80 is: 5,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.96 : 5,752.68 = 3,538.80 : x
  2. Step 2: Convert to fraction form
    3,855.96/5,752.68 = 3,538.80/x
  3. Step 3: Cross multiply
    3,855.96x = 5,752.68 × 3,538.80
  4. Step 4: Simplify right side
    3,855.96x = 20,357,583.98
  5. Step 5: Solve for x
    x = 20,357,583.98/3,855.96
  6. Step 6: Final answer
    x = 5,279.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.