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Finding the Fourth Proportional to 5,353.92, 8,033.76 and 5,106.24

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Solution

The fourth proportional to 5,353.92, 8,033.76 and 5,106.24 is: 7,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.92 : 8,033.76 = 5,106.24 : x
  2. Step 2: Convert to fraction form
    5,353.92/8,033.76 = 5,106.24/x
  3. Step 3: Cross multiply
    5,353.92x = 8,033.76 × 5,106.24
  4. Step 4: Simplify right side
    5,353.92x = 41,022,306.66
  5. Step 5: Solve for x
    x = 41,022,306.66/5,353.92
  6. Step 6: Final answer
    x = 7,662.11

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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.