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Finding the Fourth Proportional to 3,526.67, 5,278.57 and 2,601.86

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Solution

The fourth proportional to 3,526.67, 5,278.57 and 2,601.86 is: 3,894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.67 : 5,278.57 = 2,601.86 : x
  2. Step 2: Convert to fraction form
    3,526.67/5,278.57 = 2,601.86/x
  3. Step 3: Cross multiply
    3,526.67x = 5,278.57 × 2,601.86
  4. Step 4: Simplify right side
    3,526.67x = 13,734,067.24
  5. Step 5: Solve for x
    x = 13,734,067.24/3,526.67
  6. Step 6: Final answer
    x = 3,894.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.