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Finding the Fourth Proportional to 5,059.77, 7,589.12 and 1,596.75

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Solution

The fourth proportional to 5,059.77, 7,589.12 and 1,596.75 is: 2,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.77 : 7,589.12 = 1,596.75 : x
  2. Step 2: Convert to fraction form
    5,059.77/7,589.12 = 1,596.75/x
  3. Step 3: Cross multiply
    5,059.77x = 7,589.12 × 1,596.75
  4. Step 4: Simplify right side
    5,059.77x = 12,117,919.38
  5. Step 5: Solve for x
    x = 12,117,919.38/5,059.77
  6. Step 6: Final answer
    x = 2,394.95

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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.