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Finding the Fourth Proportional to 4,640.04, 6,952.24 and 2,296.92

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Solution

The fourth proportional to 4,640.04, 6,952.24 and 2,296.92 is: 3,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.04 : 6,952.24 = 2,296.92 : x
  2. Step 2: Convert to fraction form
    4,640.04/6,952.24 = 2,296.92/x
  3. Step 3: Cross multiply
    4,640.04x = 6,952.24 × 2,296.92
  4. Step 4: Simplify right side
    4,640.04x = 15,968,739.10
  5. Step 5: Solve for x
    x = 15,968,739.10/4,640.04
  6. Step 6: Final answer
    x = 3,441.51

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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.