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Finding the Fourth Proportional to 3,905.65, 5,391.65 and 2,414.44

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Solution

The fourth proportional to 3,905.65, 5,391.65 and 2,414.44 is: 3,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.65 : 5,391.65 = 2,414.44 : x
  2. Step 2: Convert to fraction form
    3,905.65/5,391.65 = 2,414.44/x
  3. Step 3: Cross multiply
    3,905.65x = 5,391.65 × 2,414.44
  4. Step 4: Simplify right side
    3,905.65x = 13,017,815.43
  5. Step 5: Solve for x
    x = 13,017,815.43/3,905.65
  6. Step 6: Final answer
    x = 3,333.07

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1.5x scale

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.