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Finding the Fourth Proportional to 5,216.67, 7,824.91 and 1,753.92

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Solution

The fourth proportional to 5,216.67, 7,824.91 and 1,753.92 is: 2,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.67 : 7,824.91 = 1,753.92 : x
  2. Step 2: Convert to fraction form
    5,216.67/7,824.91 = 1,753.92/x
  3. Step 3: Cross multiply
    5,216.67x = 7,824.91 × 1,753.92
  4. Step 4: Simplify right side
    5,216.67x = 13,724,266.15
  5. Step 5: Solve for x
    x = 13,724,266.15/5,216.67
  6. Step 6: Final answer
    x = 2,630.85

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1.5x scale

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.