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Finding the Fourth Proportional to 5,650, 7,797.04 and 3,166

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Solution

The fourth proportional to 5,650, 7,797.04 and 3,166 is: 4,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650 : 7,797.04 = 3,166 : x
  2. Step 2: Convert to fraction form
    5,650/7,797.04 = 3,166/x
  3. Step 3: Cross multiply
    5,650x = 7,797.04 × 3,166
  4. Step 4: Simplify right side
    5,650x = 24,685,428.64
  5. Step 5: Solve for x
    x = 24,685,428.64/5,650
  6. Step 6: Final answer
    x = 4,369.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.