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Finding the Fourth Proportional to 3,778.68, 5,215.41 and 2,207.01

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Solution

The fourth proportional to 3,778.68, 5,215.41 and 2,207.01 is: 3,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.68 : 5,215.41 = 2,207.01 : x
  2. Step 2: Convert to fraction form
    3,778.68/5,215.41 = 2,207.01/x
  3. Step 3: Cross multiply
    3,778.68x = 5,215.41 × 2,207.01
  4. Step 4: Simplify right side
    3,778.68x = 11,510,462.02
  5. Step 5: Solve for x
    x = 11,510,462.02/3,778.68
  6. Step 6: Final answer
    x = 3,046.16

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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.