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Finding the Fourth Proportional to 3,640.16, 5,023.68 and 2,243

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Solution

The fourth proportional to 3,640.16, 5,023.68 and 2,243 is: 3,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.16 : 5,023.68 = 2,243 : x
  2. Step 2: Convert to fraction form
    3,640.16/5,023.68 = 2,243/x
  3. Step 3: Cross multiply
    3,640.16x = 5,023.68 × 2,243
  4. Step 4: Simplify right side
    3,640.16x = 11,268,114.24
  5. Step 5: Solve for x
    x = 11,268,114.24/3,640.16
  6. Step 6: Final answer
    x = 3,095.50

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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.