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Finding the Fourth Proportional to 3,217.92, 4,824 and 1,574.88

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Solution

The fourth proportional to 3,217.92, 4,824 and 1,574.88 is: 2,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.92 : 4,824 = 1,574.88 : x
  2. Step 2: Convert to fraction form
    3,217.92/4,824 = 1,574.88/x
  3. Step 3: Cross multiply
    3,217.92x = 4,824 × 1,574.88
  4. Step 4: Simplify right side
    3,217.92x = 7,597,221.12
  5. Step 5: Solve for x
    x = 7,597,221.12/3,217.92
  6. Step 6: Final answer
    x = 2,360.91

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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.