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Finding the Fourth Proportional to 4,977.51, 7,462.80 and 2,202.67

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Solution

The fourth proportional to 4,977.51, 7,462.80 and 2,202.67 is: 3,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.51 : 7,462.80 = 2,202.67 : x
  2. Step 2: Convert to fraction form
    4,977.51/7,462.80 = 2,202.67/x
  3. Step 3: Cross multiply
    4,977.51x = 7,462.80 × 2,202.67
  4. Step 4: Simplify right side
    4,977.51x = 16,438,067.02
  5. Step 5: Solve for x
    x = 16,438,067.02/4,977.51
  6. Step 6: Final answer
    x = 3,302.47

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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.