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Finding the Fourth Proportional to 4,166.16, 6,234.12 and 3,686.64

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Solution

The fourth proportional to 4,166.16, 6,234.12 and 3,686.64 is: 5,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.16 : 6,234.12 = 3,686.64 : x
  2. Step 2: Convert to fraction form
    4,166.16/6,234.12 = 3,686.64/x
  3. Step 3: Cross multiply
    4,166.16x = 6,234.12 × 3,686.64
  4. Step 4: Simplify right side
    4,166.16x = 22,982,956.16
  5. Step 5: Solve for x
    x = 22,982,956.16/4,166.16
  6. Step 6: Final answer
    x = 5,516.58

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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.