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Finding the Fourth Proportional to 4,640.16, 6,403.52 and 2,823.16

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Solution

The fourth proportional to 4,640.16, 6,403.52 and 2,823.16 is: 3,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.16 : 6,403.52 = 2,823.16 : x
  2. Step 2: Convert to fraction form
    4,640.16/6,403.52 = 2,823.16/x
  3. Step 3: Cross multiply
    4,640.16x = 6,403.52 × 2,823.16
  4. Step 4: Simplify right side
    4,640.16x = 18,078,161.52
  5. Step 5: Solve for x
    x = 18,078,161.52/4,640.16
  6. Step 6: Final answer
    x = 3,896.02

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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.