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Finding the Fourth Proportional to 4,984.34, 7,474.64 and 1,651.97

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Solution

The fourth proportional to 4,984.34, 7,474.64 and 1,651.97 is: 2,477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.34 : 7,474.64 = 1,651.97 : x
  2. Step 2: Convert to fraction form
    4,984.34/7,474.64 = 1,651.97/x
  3. Step 3: Cross multiply
    4,984.34x = 7,474.64 × 1,651.97
  4. Step 4: Simplify right side
    4,984.34x = 12,347,882.06
  5. Step 5: Solve for x
    x = 12,347,882.06/4,984.34
  6. Step 6: Final answer
    x = 2,477.34

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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.