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Finding the Fourth Proportional to 5,052.69, 6,971.27 and 2,928.06

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Solution

The fourth proportional to 5,052.69, 6,971.27 and 2,928.06 is: 4,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.69 : 6,971.27 = 2,928.06 : x
  2. Step 2: Convert to fraction form
    5,052.69/6,971.27 = 2,928.06/x
  3. Step 3: Cross multiply
    5,052.69x = 6,971.27 × 2,928.06
  4. Step 4: Simplify right side
    5,052.69x = 20,412,282.20
  5. Step 5: Solve for x
    x = 20,412,282.20/5,052.69
  6. Step 6: Final answer
    x = 4,039.88

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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.