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Finding the Fourth Proportional to 3,278.57, 4,524.32 and 1,786.47

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Solution

The fourth proportional to 3,278.57, 4,524.32 and 1,786.47 is: 2,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.57 : 4,524.32 = 1,786.47 : x
  2. Step 2: Convert to fraction form
    3,278.57/4,524.32 = 1,786.47/x
  3. Step 3: Cross multiply
    3,278.57x = 4,524.32 × 1,786.47
  4. Step 4: Simplify right side
    3,278.57x = 8,082,561.95
  5. Step 5: Solve for x
    x = 8,082,561.95/3,278.57
  6. Step 6: Final answer
    x = 2,465.27

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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.