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Finding the Fourth Proportional to 4,911.50, 6,777.81 and 2,922.02

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Solution

The fourth proportional to 4,911.50, 6,777.81 and 2,922.02 is: 4,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.50 : 6,777.81 = 2,922.02 : x
  2. Step 2: Convert to fraction form
    4,911.50/6,777.81 = 2,922.02/x
  3. Step 3: Cross multiply
    4,911.50x = 6,777.81 × 2,922.02
  4. Step 4: Simplify right side
    4,911.50x = 19,804,896.38
  5. Step 5: Solve for x
    x = 19,804,896.38/4,911.50
  6. Step 6: Final answer
    x = 4,032.35

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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.