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Finding the Fourth Proportional to 4,673.16, 6,446.67 and 2,881.19

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Solution

The fourth proportional to 4,673.16, 6,446.67 and 2,881.19 is: 3,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.16 : 6,446.67 = 2,881.19 : x
  2. Step 2: Convert to fraction form
    4,673.16/6,446.67 = 2,881.19/x
  3. Step 3: Cross multiply
    4,673.16x = 6,446.67 × 2,881.19
  4. Step 4: Simplify right side
    4,673.16x = 18,574,048.90
  5. Step 5: Solve for x
    x = 18,574,048.90/4,673.16
  6. Step 6: Final answer
    x = 3,974.62

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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.