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Finding the Fourth Proportional to 5,224.91, 7,837.05 and 1,527.05

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Solution

The fourth proportional to 5,224.91, 7,837.05 and 1,527.05 is: 2,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.91 : 7,837.05 = 1,527.05 : x
  2. Step 2: Convert to fraction form
    5,224.91/7,837.05 = 1,527.05/x
  3. Step 3: Cross multiply
    5,224.91x = 7,837.05 × 1,527.05
  4. Step 4: Simplify right side
    5,224.91x = 11,967,592.52
  5. Step 5: Solve for x
    x = 11,967,592.52/5,224.91
  6. Step 6: Final answer
    x = 2,290.49

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Why These Related Problems?

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