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Finding the Fourth Proportional to 5,734.77, 8,589.32 and 4,984.77

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Solution

The fourth proportional to 5,734.77, 8,589.32 and 4,984.77 is: 7,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.77 : 8,589.32 = 4,984.77 : x
  2. Step 2: Convert to fraction form
    5,734.77/8,589.32 = 4,984.77/x
  3. Step 3: Cross multiply
    5,734.77x = 8,589.32 × 4,984.77
  4. Step 4: Simplify right side
    5,734.77x = 42,815,759.73
  5. Step 5: Solve for x
    x = 42,815,759.73/5,734.77
  6. Step 6: Final answer
    x = 7,465.99

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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.