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Finding the Fourth Proportional to 3,857.58, 5,323.14 and 2,178.90

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Solution

The fourth proportional to 3,857.58, 5,323.14 and 2,178.90 is: 3,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.58 : 5,323.14 = 2,178.90 : x
  2. Step 2: Convert to fraction form
    3,857.58/5,323.14 = 2,178.90/x
  3. Step 3: Cross multiply
    3,857.58x = 5,323.14 × 2,178.90
  4. Step 4: Simplify right side
    3,857.58x = 11,598,589.75
  5. Step 5: Solve for x
    x = 11,598,589.75/3,857.58
  6. Step 6: Final answer
    x = 3,006.70

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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.