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Finding the Fourth Proportional to 4,992.57, 6,889.83 and 3,002.75

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Solution

The fourth proportional to 4,992.57, 6,889.83 and 3,002.75 is: 4,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.57 : 6,889.83 = 3,002.75 : x
  2. Step 2: Convert to fraction form
    4,992.57/6,889.83 = 3,002.75/x
  3. Step 3: Cross multiply
    4,992.57x = 6,889.83 × 3,002.75
  4. Step 4: Simplify right side
    4,992.57x = 20,688,437.03
  5. Step 5: Solve for x
    x = 20,688,437.03/4,992.57
  6. Step 6: Final answer
    x = 4,143.85

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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.