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Finding the Fourth Proportional to 5,434.67, 7,499.36 and 3,076.67

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Solution

The fourth proportional to 5,434.67, 7,499.36 and 3,076.67 is: 4,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.67 : 7,499.36 = 3,076.67 : x
  2. Step 2: Convert to fraction form
    5,434.67/7,499.36 = 3,076.67/x
  3. Step 3: Cross multiply
    5,434.67x = 7,499.36 × 3,076.67
  4. Step 4: Simplify right side
    5,434.67x = 23,073,003.05
  5. Step 5: Solve for x
    x = 23,073,003.05/5,434.67
  6. Step 6: Final answer
    x = 4,245.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.