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Finding the Fourth Proportional to 3,409.38, 4,705.29 and 2,292.66

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Solution

The fourth proportional to 3,409.38, 4,705.29 and 2,292.66 is: 3,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.38 : 4,705.29 = 2,292.66 : x
  2. Step 2: Convert to fraction form
    3,409.38/4,705.29 = 2,292.66/x
  3. Step 3: Cross multiply
    3,409.38x = 4,705.29 × 2,292.66
  4. Step 4: Simplify right side
    3,409.38x = 10,787,630.17
  5. Step 5: Solve for x
    x = 10,787,630.17/3,409.38
  6. Step 6: Final answer
    x = 3,164.10

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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.