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Finding the Fourth Proportional to 4,244, 6,366.36 and 1,166

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Solution

The fourth proportional to 4,244, 6,366.36 and 1,166 is: 1,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244 : 6,366.36 = 1,166 : x
  2. Step 2: Convert to fraction form
    4,244/6,366.36 = 1,166/x
  3. Step 3: Cross multiply
    4,244x = 6,366.36 × 1,166
  4. Step 4: Simplify right side
    4,244x = 7,423,175.76
  5. Step 5: Solve for x
    x = 7,423,175.76/4,244
  6. Step 6: Final answer
    x = 1,749.10

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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.