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Finding the Fourth Proportional to 3,247.09, 4,870.09 and 1,166.71

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Solution

The fourth proportional to 3,247.09, 4,870.09 and 1,166.71 is: 1,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.09 : 4,870.09 = 1,166.71 : x
  2. Step 2: Convert to fraction form
    3,247.09/4,870.09 = 1,166.71/x
  3. Step 3: Cross multiply
    3,247.09x = 4,870.09 × 1,166.71
  4. Step 4: Simplify right side
    3,247.09x = 5,681,958.35
  5. Step 5: Solve for x
    x = 5,681,958.35/3,247.09
  6. Step 6: Final answer
    x = 1,749.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.