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Finding the Fourth Proportional to 5,046.88, 6,964.70 and 2,838.88

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Solution

The fourth proportional to 5,046.88, 6,964.70 and 2,838.88 is: 3,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.88 : 6,964.70 = 2,838.88 : x
  2. Step 2: Convert to fraction form
    5,046.88/6,964.70 = 2,838.88/x
  3. Step 3: Cross multiply
    5,046.88x = 6,964.70 × 2,838.88
  4. Step 4: Simplify right side
    5,046.88x = 19,771,947.54
  5. Step 5: Solve for x
    x = 19,771,947.54/5,046.88
  6. Step 6: Final answer
    x = 3,917.66

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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.