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Finding the Fourth Proportional to 3,974.58, 5,950.02 and 2,409.87

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Solution

The fourth proportional to 3,974.58, 5,950.02 and 2,409.87 is: 3,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.58 : 5,950.02 = 2,409.87 : x
  2. Step 2: Convert to fraction form
    3,974.58/5,950.02 = 2,409.87/x
  3. Step 3: Cross multiply
    3,974.58x = 5,950.02 × 2,409.87
  4. Step 4: Simplify right side
    3,974.58x = 14,338,774.70
  5. Step 5: Solve for x
    x = 14,338,774.70/3,974.58
  6. Step 6: Final answer
    x = 3,607.62

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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.