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Finding the Fourth Proportional to 3,975.43, 5,486.01 and 2,207

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Solution

The fourth proportional to 3,975.43, 5,486.01 and 2,207 is: 3,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.43 : 5,486.01 = 2,207 : x
  2. Step 2: Convert to fraction form
    3,975.43/5,486.01 = 2,207/x
  3. Step 3: Cross multiply
    3,975.43x = 5,486.01 × 2,207
  4. Step 4: Simplify right side
    3,975.43x = 12,107,624.07
  5. Step 5: Solve for x
    x = 12,107,624.07/3,975.43
  6. Step 6: Final answer
    x = 3,045.61

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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.