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Finding the Fourth Proportional to 3,857.53, 5,323.39 and 2,178.86

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Solution

The fourth proportional to 3,857.53, 5,323.39 and 2,178.86 is: 3,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.53 : 5,323.39 = 2,178.86 : x
  2. Step 2: Convert to fraction form
    3,857.53/5,323.39 = 2,178.86/x
  3. Step 3: Cross multiply
    3,857.53x = 5,323.39 × 2,178.86
  4. Step 4: Simplify right side
    3,857.53x = 11,598,889.47
  5. Step 5: Solve for x
    x = 11,598,889.47/3,857.53
  6. Step 6: Final answer
    x = 3,006.82

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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.