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Finding the Fourth Proportional to 3,772.71, 5,206.05 and 2,200.50

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Solution

The fourth proportional to 3,772.71, 5,206.05 and 2,200.50 is: 3,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.71 : 5,206.05 = 2,200.50 : x
  2. Step 2: Convert to fraction form
    3,772.71/5,206.05 = 2,200.50/x
  3. Step 3: Cross multiply
    3,772.71x = 5,206.05 × 2,200.50
  4. Step 4: Simplify right side
    3,772.71x = 11,455,913.03
  5. Step 5: Solve for x
    x = 11,455,913.03/3,772.71
  6. Step 6: Final answer
    x = 3,036.52

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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.