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Finding the Fourth Proportional to 3,524.72, 5,288.91 and 2,558.78

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Solution

The fourth proportional to 3,524.72, 5,288.91 and 2,558.78 is: 3,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.72 : 5,288.91 = 2,558.78 : x
  2. Step 2: Convert to fraction form
    3,524.72/5,288.91 = 2,558.78/x
  3. Step 3: Cross multiply
    3,524.72x = 5,288.91 × 2,558.78
  4. Step 4: Simplify right side
    3,524.72x = 13,533,157.13
  5. Step 5: Solve for x
    x = 13,533,157.13/3,524.72
  6. Step 6: Final answer
    x = 3,839.50

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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.