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Finding the Fourth Proportional to 3,424.63, 4,724.83 and 2,794.07

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Solution

The fourth proportional to 3,424.63, 4,724.83 and 2,794.07 is: 3,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.63 : 4,724.83 = 2,794.07 : x
  2. Step 2: Convert to fraction form
    3,424.63/4,724.83 = 2,794.07/x
  3. Step 3: Cross multiply
    3,424.63x = 4,724.83 × 2,794.07
  4. Step 4: Simplify right side
    3,424.63x = 13,201,475.15
  5. Step 5: Solve for x
    x = 13,201,475.15/3,424.63
  6. Step 6: Final answer
    x = 3,854.86

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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.