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Finding the Fourth Proportional to 3,523.68, 5,286 and 1,215.36

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Solution

The fourth proportional to 3,523.68, 5,286 and 1,215.36 is: 1,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.68 : 5,286 = 1,215.36 : x
  2. Step 2: Convert to fraction form
    3,523.68/5,286 = 1,215.36/x
  3. Step 3: Cross multiply
    3,523.68x = 5,286 × 1,215.36
  4. Step 4: Simplify right side
    3,523.68x = 6,424,392.96
  5. Step 5: Solve for x
    x = 6,424,392.96/3,523.68
  6. Step 6: Final answer
    x = 1,823.21

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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.