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Finding the Fourth Proportional to 3,857.63, 5,323.12 and 2,178.50

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Solution

The fourth proportional to 3,857.63, 5,323.12 and 2,178.50 is: 3,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.63 : 5,323.12 = 2,178.50 : x
  2. Step 2: Convert to fraction form
    3,857.63/5,323.12 = 2,178.50/x
  3. Step 3: Cross multiply
    3,857.63x = 5,323.12 × 2,178.50
  4. Step 4: Simplify right side
    3,857.63x = 11,596,384.86
  5. Step 5: Solve for x
    x = 11,596,384.86/3,857.63
  6. Step 6: Final answer
    x = 3,006.09

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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.