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Finding the Fourth Proportional to 5,057.89, 6,975.52 and 3,288.85

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Solution

The fourth proportional to 5,057.89, 6,975.52 and 3,288.85 is: 4,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.89 : 6,975.52 = 3,288.85 : x
  2. Step 2: Convert to fraction form
    5,057.89/6,975.52 = 3,288.85/x
  3. Step 3: Cross multiply
    5,057.89x = 6,975.52 × 3,288.85
  4. Step 4: Simplify right side
    5,057.89x = 22,941,438.95
  5. Step 5: Solve for x
    x = 22,941,438.95/5,057.89
  6. Step 6: Final answer
    x = 4,535.77

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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.