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Finding the Fourth Proportional to 4,114.42, 6,166.11 and 2,652.82

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Solution

The fourth proportional to 4,114.42, 6,166.11 and 2,652.82 is: 3,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.42 : 6,166.11 = 2,652.82 : x
  2. Step 2: Convert to fraction form
    4,114.42/6,166.11 = 2,652.82/x
  3. Step 3: Cross multiply
    4,114.42x = 6,166.11 × 2,652.82
  4. Step 4: Simplify right side
    4,114.42x = 16,357,579.93
  5. Step 5: Solve for x
    x = 16,357,579.93/4,114.42
  6. Step 6: Final answer
    x = 3,975.67

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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.