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Finding the Fourth Proportional to 5,046.95, 6,964.73 and 2,922.77

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Solution

The fourth proportional to 5,046.95, 6,964.73 and 2,922.77 is: 4,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.95 : 6,964.73 = 2,922.77 : x
  2. Step 2: Convert to fraction form
    5,046.95/6,964.73 = 2,922.77/x
  3. Step 3: Cross multiply
    5,046.95x = 6,964.73 × 2,922.77
  4. Step 4: Simplify right side
    5,046.95x = 20,356,289.29
  5. Step 5: Solve for x
    x = 20,356,289.29/5,046.95
  6. Step 6: Final answer
    x = 4,033.38

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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.