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Finding the Fourth Proportional to 3,416.68, 5,125.74 and 1,108

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Solution

The fourth proportional to 3,416.68, 5,125.74 and 1,108 is: 1,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.68 : 5,125.74 = 1,108 : x
  2. Step 2: Convert to fraction form
    3,416.68/5,125.74 = 1,108/x
  3. Step 3: Cross multiply
    3,416.68x = 5,125.74 × 1,108
  4. Step 4: Simplify right side
    3,416.68x = 5,679,319.92
  5. Step 5: Solve for x
    x = 5,679,319.92/3,416.68
  6. Step 6: Final answer
    x = 1,662.23

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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.