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Finding the Fourth Proportional to 4,146.01, 6,217.18 and 2,197.76

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Solution

The fourth proportional to 4,146.01, 6,217.18 and 2,197.76 is: 3,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.01 : 6,217.18 = 2,197.76 : x
  2. Step 2: Convert to fraction form
    4,146.01/6,217.18 = 2,197.76/x
  3. Step 3: Cross multiply
    4,146.01x = 6,217.18 × 2,197.76
  4. Step 4: Simplify right side
    4,146.01x = 13,663,869.52
  5. Step 5: Solve for x
    x = 13,663,869.52/4,146.01
  6. Step 6: Final answer
    x = 3,295.67

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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.