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Finding the Fourth Proportional to 3,857.47, 5,323.12 and 2,155.68

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Solution

The fourth proportional to 3,857.47, 5,323.12 and 2,155.68 is: 2,974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.47 : 5,323.12 = 2,155.68 : x
  2. Step 2: Convert to fraction form
    3,857.47/5,323.12 = 2,155.68/x
  3. Step 3: Cross multiply
    3,857.47x = 5,323.12 × 2,155.68
  4. Step 4: Simplify right side
    3,857.47x = 11,474,937.93
  5. Step 5: Solve for x
    x = 11,474,937.93/3,857.47
  6. Step 6: Final answer
    x = 2,974.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.