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Finding the Fourth Proportional to 3,207.49, 4,416.46 and 2,412

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Solution

The fourth proportional to 3,207.49, 4,416.46 and 2,412 is: 3,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.49 : 4,416.46 = 2,412 : x
  2. Step 2: Convert to fraction form
    3,207.49/4,416.46 = 2,412/x
  3. Step 3: Cross multiply
    3,207.49x = 4,416.46 × 2,412
  4. Step 4: Simplify right side
    3,207.49x = 10,652,495.49
  5. Step 5: Solve for x
    x = 10,652,495.49/3,207.49
  6. Step 6: Final answer
    x = 3,321.13

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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.