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Finding the Fourth Proportional to 4,217, 6,322.62 and 2,574.12

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Solution

The fourth proportional to 4,217, 6,322.62 and 2,574.12 is: 3,859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217 : 6,322.62 = 2,574.12 : x
  2. Step 2: Convert to fraction form
    4,217/6,322.62 = 2,574.12/x
  3. Step 3: Cross multiply
    4,217x = 6,322.62 × 2,574.12
  4. Step 4: Simplify right side
    4,217x = 16,275,182.59
  5. Step 5: Solve for x
    x = 16,275,182.59/4,217
  6. Step 6: Final answer
    x = 3,859.42

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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.