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Finding the Fourth Proportional to 3,816.46, 5,727.93 and 1,509.58

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Solution

The fourth proportional to 3,816.46, 5,727.93 and 1,509.58 is: 2,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.46 : 5,727.93 = 1,509.58 : x
  2. Step 2: Convert to fraction form
    3,816.46/5,727.93 = 1,509.58/x
  3. Step 3: Cross multiply
    3,816.46x = 5,727.93 × 1,509.58
  4. Step 4: Simplify right side
    3,816.46x = 8,646,768.57
  5. Step 5: Solve for x
    x = 8,646,768.57/3,816.46
  6. Step 6: Final answer
    x = 2,265.65

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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.