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Finding the Fourth Proportional to 5,102.84, 7,041.43 and 2,864.27

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Solution

The fourth proportional to 5,102.84, 7,041.43 and 2,864.27 is: 3,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.84 : 7,041.43 = 2,864.27 : x
  2. Step 2: Convert to fraction form
    5,102.84/7,041.43 = 2,864.27/x
  3. Step 3: Cross multiply
    5,102.84x = 7,041.43 × 2,864.27
  4. Step 4: Simplify right side
    5,102.84x = 20,168,556.71
  5. Step 5: Solve for x
    x = 20,168,556.71/5,102.84
  6. Step 6: Final answer
    x = 3,952.42

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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.