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Finding the Fourth Proportional to 5,046.84, 6,964.02 and 3,057.12

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Solution

The fourth proportional to 5,046.84, 6,964.02 and 3,057.12 is: 4,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.84 : 6,964.02 = 3,057.12 : x
  2. Step 2: Convert to fraction form
    5,046.84/6,964.02 = 3,057.12/x
  3. Step 3: Cross multiply
    5,046.84x = 6,964.02 × 3,057.12
  4. Step 4: Simplify right side
    5,046.84x = 21,289,844.82
  5. Step 5: Solve for x
    x = 21,289,844.82/5,046.84
  6. Step 6: Final answer
    x = 4,218.45

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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.