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Finding the Fourth Proportional to 4,974.63, 7,461.98 and 2,369.67

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Solution

The fourth proportional to 4,974.63, 7,461.98 and 2,369.67 is: 3,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.63 : 7,461.98 = 2,369.67 : x
  2. Step 2: Convert to fraction form
    4,974.63/7,461.98 = 2,369.67/x
  3. Step 3: Cross multiply
    4,974.63x = 7,461.98 × 2,369.67
  4. Step 4: Simplify right side
    4,974.63x = 17,682,399.64
  5. Step 5: Solve for x
    x = 17,682,399.64/4,974.63
  6. Step 6: Final answer
    x = 3,554.52

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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.