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Finding the Fourth Proportional to 5,331.92, 8,009.49 and 5,156.96

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Solution

The fourth proportional to 5,331.92, 8,009.49 and 5,156.96 is: 7,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,331.92 : 8,009.49 = 5,156.96 : x
  2. Step 2: Convert to fraction form
    5,331.92/8,009.49 = 5,156.96/x
  3. Step 3: Cross multiply
    5,331.92x = 8,009.49 × 5,156.96
  4. Step 4: Simplify right side
    5,331.92x = 41,304,619.55
  5. Step 5: Solve for x
    x = 41,304,619.55/5,331.92
  6. Step 6: Final answer
    x = 7,746.67

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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.