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Finding the Fourth Proportional to 5,111.50, 7,053.84 and 2,873.38

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Solution

The fourth proportional to 5,111.50, 7,053.84 and 2,873.38 is: 3,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.50 : 7,053.84 = 2,873.38 : x
  2. Step 2: Convert to fraction form
    5,111.50/7,053.84 = 2,873.38/x
  3. Step 3: Cross multiply
    5,111.50x = 7,053.84 × 2,873.38
  4. Step 4: Simplify right side
    5,111.50x = 20,268,362.78
  5. Step 5: Solve for x
    x = 20,268,362.78/5,111.50
  6. Step 6: Final answer
    x = 3,965.25

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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.