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Finding the Fourth Proportional to 5,224.69, 7,838.32 and 1,526.97

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Solution

The fourth proportional to 5,224.69, 7,838.32 and 1,526.97 is: 2,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.69 : 7,838.32 = 1,526.97 : x
  2. Step 2: Convert to fraction form
    5,224.69/7,838.32 = 1,526.97/x
  3. Step 3: Cross multiply
    5,224.69x = 7,838.32 × 1,526.97
  4. Step 4: Simplify right side
    5,224.69x = 11,968,879.49
  5. Step 5: Solve for x
    x = 11,968,879.49/5,224.69
  6. Step 6: Final answer
    x = 2,290.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.