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Finding the Fourth Proportional to 5,249.70, 7,880.49 and 3,303

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Solution

The fourth proportional to 5,249.70, 7,880.49 and 3,303 is: 4,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.70 : 7,880.49 = 3,303 : x
  2. Step 2: Convert to fraction form
    5,249.70/7,880.49 = 3,303/x
  3. Step 3: Cross multiply
    5,249.70x = 7,880.49 × 3,303
  4. Step 4: Simplify right side
    5,249.70x = 26,029,258.47
  5. Step 5: Solve for x
    x = 26,029,258.47/5,249.70
  6. Step 6: Final answer
    x = 4,958.24

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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.