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Finding the Fourth Proportional to 3,525.42, 5,288.94 and 1,216.92

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Solution

The fourth proportional to 3,525.42, 5,288.94 and 1,216.92 is: 1,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.42 : 5,288.94 = 1,216.92 : x
  2. Step 2: Convert to fraction form
    3,525.42/5,288.94 = 1,216.92/x
  3. Step 3: Cross multiply
    3,525.42x = 5,288.94 × 1,216.92
  4. Step 4: Simplify right side
    3,525.42x = 6,436,216.86
  5. Step 5: Solve for x
    x = 6,436,216.86/3,525.42
  6. Step 6: Final answer
    x = 1,825.66

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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.