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Finding the Fourth Proportional to 8,802, 13,203.64 and 2,958.48

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Solution

The fourth proportional to 8,802, 13,203.64 and 2,958.48 is: 4,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802 : 13,203.64 = 2,958.48 : x
  2. Step 2: Convert to fraction form
    8,802/13,203.64 = 2,958.48/x
  3. Step 3: Cross multiply
    8,802x = 13,203.64 × 2,958.48
  4. Step 4: Simplify right side
    8,802x = 39,062,704.87
  5. Step 5: Solve for x
    x = 39,062,704.87/8,802
  6. Step 6: Final answer
    x = 4,437.94

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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.