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Finding the Fourth Proportional to 3,806.61, 5,249.71 and 3,170.66

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Solution

The fourth proportional to 3,806.61, 5,249.71 and 3,170.66 is: 4,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.61 : 5,249.71 = 3,170.66 : x
  2. Step 2: Convert to fraction form
    3,806.61/5,249.71 = 3,170.66/x
  3. Step 3: Cross multiply
    3,806.61x = 5,249.71 × 3,170.66
  4. Step 4: Simplify right side
    3,806.61x = 16,645,045.51
  5. Step 5: Solve for x
    x = 16,645,045.51/3,806.61
  6. Step 6: Final answer
    x = 4,372.67

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