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Finding the Fourth Proportional to 3,447.66, 5,170.62 and 2,416.86

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Solution

The fourth proportional to 3,447.66, 5,170.62 and 2,416.86 is: 3,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.66 : 5,170.62 = 2,416.86 : x
  2. Step 2: Convert to fraction form
    3,447.66/5,170.62 = 2,416.86/x
  3. Step 3: Cross multiply
    3,447.66x = 5,170.62 × 2,416.86
  4. Step 4: Simplify right side
    3,447.66x = 12,496,664.65
  5. Step 5: Solve for x
    x = 12,496,664.65/3,447.66
  6. Step 6: Final answer
    x = 3,624.68

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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.