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Finding the Fourth Proportional to 5,239, 7,230.02 and 2,881.09

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Solution

The fourth proportional to 5,239, 7,230.02 and 2,881.09 is: 3,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239 : 7,230.02 = 2,881.09 : x
  2. Step 2: Convert to fraction form
    5,239/7,230.02 = 2,881.09/x
  3. Step 3: Cross multiply
    5,239x = 7,230.02 × 2,881.09
  4. Step 4: Simplify right side
    5,239x = 20,830,338.32
  5. Step 5: Solve for x
    x = 20,830,338.32/5,239
  6. Step 6: Final answer
    x = 3,976.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.