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Finding the Fourth Proportional to 5,046.50, 6,964.18 and 2,838.50

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Solution

The fourth proportional to 5,046.50, 6,964.18 and 2,838.50 is: 3,917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.50 : 6,964.18 = 2,838.50 : x
  2. Step 2: Convert to fraction form
    5,046.50/6,964.18 = 2,838.50/x
  3. Step 3: Cross multiply
    5,046.50x = 6,964.18 × 2,838.50
  4. Step 4: Simplify right side
    5,046.50x = 19,767,824.93
  5. Step 5: Solve for x
    x = 19,767,824.93/5,046.50
  6. Step 6: Final answer
    x = 3,917.14

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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.