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Finding the Fourth Proportional to 3,675.77, 5,072.58 and 1,997.17

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Solution

The fourth proportional to 3,675.77, 5,072.58 and 1,997.17 is: 2,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.77 : 5,072.58 = 1,997.17 : x
  2. Step 2: Convert to fraction form
    3,675.77/5,072.58 = 1,997.17/x
  3. Step 3: Cross multiply
    3,675.77x = 5,072.58 × 1,997.17
  4. Step 4: Simplify right side
    3,675.77x = 10,130,804.60
  5. Step 5: Solve for x
    x = 10,130,804.60/3,675.77
  6. Step 6: Final answer
    x = 2,756.10

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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.