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Finding the Fourth Proportional to 3,815.78, 5,266.04 and 2,137.50

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Solution

The fourth proportional to 3,815.78, 5,266.04 and 2,137.50 is: 2,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.78 : 5,266.04 = 2,137.50 : x
  2. Step 2: Convert to fraction form
    3,815.78/5,266.04 = 2,137.50/x
  3. Step 3: Cross multiply
    3,815.78x = 5,266.04 × 2,137.50
  4. Step 4: Simplify right side
    3,815.78x = 11,256,149.81
  5. Step 5: Solve for x
    x = 11,256,149.81/3,815.78
  6. Step 6: Final answer
    x = 2,949.90

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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.