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Finding the Fourth Proportional to 3,166.64, 4,749.98 and 1,086.67

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Solution

The fourth proportional to 3,166.64, 4,749.98 and 1,086.67 is: 1,630.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.64 : 4,749.98 = 1,086.67 : x
  2. Step 2: Convert to fraction form
    3,166.64/4,749.98 = 1,086.67/x
  3. Step 3: Cross multiply
    3,166.64x = 4,749.98 × 1,086.67
  4. Step 4: Simplify right side
    3,166.64x = 5,161,631.58
  5. Step 5: Solve for x
    x = 5,161,631.58/3,166.64
  6. Step 6: Final answer
    x = 1,630.00

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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.