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Finding the Fourth Proportional to 3,406.70, 4,698.32 and 2,743.32

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Solution

The fourth proportional to 3,406.70, 4,698.32 and 2,743.32 is: 3,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.70 : 4,698.32 = 2,743.32 : x
  2. Step 2: Convert to fraction form
    3,406.70/4,698.32 = 2,743.32/x
  3. Step 3: Cross multiply
    3,406.70x = 4,698.32 × 2,743.32
  4. Step 4: Simplify right side
    3,406.70x = 12,888,995.22
  5. Step 5: Solve for x
    x = 12,888,995.22/3,406.70
  6. Step 6: Final answer
    x = 3,783.43

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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.