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Finding the Fourth Proportional to 5,009.71, 6,913.28 and 2,771.71

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Solution

The fourth proportional to 5,009.71, 6,913.28 and 2,771.71 is: 3,824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.71 : 6,913.28 = 2,771.71 : x
  2. Step 2: Convert to fraction form
    5,009.71/6,913.28 = 2,771.71/x
  3. Step 3: Cross multiply
    5,009.71x = 6,913.28 × 2,771.71
  4. Step 4: Simplify right side
    5,009.71x = 19,161,593.45
  5. Step 5: Solve for x
    x = 19,161,593.45/5,009.71
  6. Step 6: Final answer
    x = 3,824.89

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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.