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Finding the Fourth Proportional to 4,974.72, 7,462.02 and 1,690.11

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Solution

The fourth proportional to 4,974.72, 7,462.02 and 1,690.11 is: 2,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.72 : 7,462.02 = 1,690.11 : x
  2. Step 2: Convert to fraction form
    4,974.72/7,462.02 = 1,690.11/x
  3. Step 3: Cross multiply
    4,974.72x = 7,462.02 × 1,690.11
  4. Step 4: Simplify right side
    4,974.72x = 12,611,634.62
  5. Step 5: Solve for x
    x = 12,611,634.62/4,974.72
  6. Step 6: Final answer
    x = 2,535.14

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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.