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Finding the Fourth Proportional to 3,663.50, 5,056.04 and 2,070.78

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Solution

The fourth proportional to 3,663.50, 5,056.04 and 2,070.78 is: 2,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.50 : 5,056.04 = 2,070.78 : x
  2. Step 2: Convert to fraction form
    3,663.50/5,056.04 = 2,070.78/x
  3. Step 3: Cross multiply
    3,663.50x = 5,056.04 × 2,070.78
  4. Step 4: Simplify right side
    3,663.50x = 10,469,949.52
  5. Step 5: Solve for x
    x = 10,469,949.52/3,663.50
  6. Step 6: Final answer
    x = 2,857.91

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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.