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Finding the Fourth Proportional to 3,809.29, 5,259.10 and 2,394.18

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Solution

The fourth proportional to 3,809.29, 5,259.10 and 2,394.18 is: 3,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.29 : 5,259.10 = 2,394.18 : x
  2. Step 2: Convert to fraction form
    3,809.29/5,259.10 = 2,394.18/x
  3. Step 3: Cross multiply
    3,809.29x = 5,259.10 × 2,394.18
  4. Step 4: Simplify right side
    3,809.29x = 12,591,232.04
  5. Step 5: Solve for x
    x = 12,591,232.04/3,809.29
  6. Step 6: Final answer
    x = 3,305.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.