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Finding the Fourth Proportional to 3,756.78, 5,185.08 and 2,185.11

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Solution

The fourth proportional to 3,756.78, 5,185.08 and 2,185.11 is: 3,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.78 : 5,185.08 = 2,185.11 : x
  2. Step 2: Convert to fraction form
    3,756.78/5,185.08 = 2,185.11/x
  3. Step 3: Cross multiply
    3,756.78x = 5,185.08 × 2,185.11
  4. Step 4: Simplify right side
    3,756.78x = 11,329,970.16
  5. Step 5: Solve for x
    x = 11,329,970.16/3,756.78
  6. Step 6: Final answer
    x = 3,015.87

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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.