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Finding the Fourth Proportional to 5,305.46, 7,919.25 and 4,914.50

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Solution

The fourth proportional to 5,305.46, 7,919.25 and 4,914.50 is: 7,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.46 : 7,919.25 = 4,914.50 : x
  2. Step 2: Convert to fraction form
    5,305.46/7,919.25 = 4,914.50/x
  3. Step 3: Cross multiply
    5,305.46x = 7,919.25 × 4,914.50
  4. Step 4: Simplify right side
    5,305.46x = 38,919,129.55
  5. Step 5: Solve for x
    x = 38,919,129.55/5,305.46
  6. Step 6: Final answer
    x = 7,335.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.