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Finding the Fourth Proportional to 3,674.66, 5,510.16 and 2,114.25

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Solution

The fourth proportional to 3,674.66, 5,510.16 and 2,114.25 is: 3,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.66 : 5,510.16 = 2,114.25 : x
  2. Step 2: Convert to fraction form
    3,674.66/5,510.16 = 2,114.25/x
  3. Step 3: Cross multiply
    3,674.66x = 5,510.16 × 2,114.25
  4. Step 4: Simplify right side
    3,674.66x = 11,649,855.78
  5. Step 5: Solve for x
    x = 11,649,855.78/3,674.66
  6. Step 6: Final answer
    x = 3,170.33

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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.