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Finding the Fourth Proportional to 5,030.98, 6,942.82 and 2,793.00

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Solution

The fourth proportional to 5,030.98, 6,942.82 and 2,793.00 is: 3,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,030.98 : 6,942.82 = 2,793.00 : x
  2. Step 2: Convert to fraction form
    5,030.98/6,942.82 = 2,793.00/x
  3. Step 3: Cross multiply
    5,030.98x = 6,942.82 × 2,793.00
  4. Step 4: Simplify right side
    5,030.98x = 19,391,268.53
  5. Step 5: Solve for x
    x = 19,391,268.53/5,030.98
  6. Step 6: Final answer
    x = 3,854.38

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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.