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Finding the Fourth Proportional to 3,818.04, 5,727.78 and 1,509.72

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Solution

The fourth proportional to 3,818.04, 5,727.78 and 1,509.72 is: 2,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.04 : 5,727.78 = 1,509.72 : x
  2. Step 2: Convert to fraction form
    3,818.04/5,727.78 = 1,509.72/x
  3. Step 3: Cross multiply
    3,818.04x = 5,727.78 × 1,509.72
  4. Step 4: Simplify right side
    3,818.04x = 8,647,344.02
  5. Step 5: Solve for x
    x = 8,647,344.02/3,818.04
  6. Step 6: Final answer
    x = 2,264.86

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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.