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Finding the Fourth Proportional to 5,266.92, 7,894.83 and 2,145.72

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Solution

The fourth proportional to 5,266.92, 7,894.83 and 2,145.72 is: 3,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.92 : 7,894.83 = 2,145.72 : x
  2. Step 2: Convert to fraction form
    5,266.92/7,894.83 = 2,145.72/x
  3. Step 3: Cross multiply
    5,266.92x = 7,894.83 × 2,145.72
  4. Step 4: Simplify right side
    5,266.92x = 16,940,094.63
  5. Step 5: Solve for x
    x = 16,940,094.63/5,266.92
  6. Step 6: Final answer
    x = 3,216.32

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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.