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Finding the Fourth Proportional to 3,107.16, 4,662.77 and 2,902.23

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Solution

The fourth proportional to 3,107.16, 4,662.77 and 2,902.23 is: 4,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.16 : 4,662.77 = 2,902.23 : x
  2. Step 2: Convert to fraction form
    3,107.16/4,662.77 = 2,902.23/x
  3. Step 3: Cross multiply
    3,107.16x = 4,662.77 × 2,902.23
  4. Step 4: Simplify right side
    3,107.16x = 13,532,416.47
  5. Step 5: Solve for x
    x = 13,532,416.47/3,107.16
  6. Step 6: Final answer
    x = 4,355.24

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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.