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Finding the Fourth Proportional to 3,975.70, 5,486.22 and 2,207.20

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Solution

The fourth proportional to 3,975.70, 5,486.22 and 2,207.20 is: 3,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.70 : 5,486.22 = 2,207.20 : x
  2. Step 2: Convert to fraction form
    3,975.70/5,486.22 = 2,207.20/x
  3. Step 3: Cross multiply
    3,975.70x = 5,486.22 × 2,207.20
  4. Step 4: Simplify right side
    3,975.70x = 12,109,184.78
  5. Step 5: Solve for x
    x = 12,109,184.78/3,975.70
  6. Step 6: Final answer
    x = 3,045.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.