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Finding the Fourth Proportional to 5,288.82, 7,294.89 and 5,115.06

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Solution

The fourth proportional to 5,288.82, 7,294.89 and 5,115.06 is: 7,055.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.82 : 7,294.89 = 5,115.06 : x
  2. Step 2: Convert to fraction form
    5,288.82/7,294.89 = 5,115.06/x
  3. Step 3: Cross multiply
    5,288.82x = 7,294.89 × 5,115.06
  4. Step 4: Simplify right side
    5,288.82x = 37,313,800.04
  5. Step 5: Solve for x
    x = 37,313,800.04/5,288.82
  6. Step 6: Final answer
    x = 7,055.22

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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.