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Finding the Fourth Proportional to 3,209.79, 4,422.94 and 2,369.18

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Solution

The fourth proportional to 3,209.79, 4,422.94 and 2,369.18 is: 3,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.79 : 4,422.94 = 2,369.18 : x
  2. Step 2: Convert to fraction form
    3,209.79/4,422.94 = 2,369.18/x
  3. Step 3: Cross multiply
    3,209.79x = 4,422.94 × 2,369.18
  4. Step 4: Simplify right side
    3,209.79x = 10,478,746.12
  5. Step 5: Solve for x
    x = 10,478,746.12/3,209.79
  6. Step 6: Final answer
    x = 3,264.62

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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.