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Finding the Fourth Proportional to 3,212.29, 4,820.95 and 1,652.23

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Solution

The fourth proportional to 3,212.29, 4,820.95 and 1,652.23 is: 2,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.29 : 4,820.95 = 1,652.23 : x
  2. Step 2: Convert to fraction form
    3,212.29/4,820.95 = 1,652.23/x
  3. Step 3: Cross multiply
    3,212.29x = 4,820.95 × 1,652.23
  4. Step 4: Simplify right side
    3,212.29x = 7,965,318.22
  5. Step 5: Solve for x
    x = 7,965,318.22/3,212.29
  6. Step 6: Final answer
    x = 2,479.64

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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.