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Finding the Fourth Proportional to 3,675.18, 5,077.44 and 3,647.50

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Solution

The fourth proportional to 3,675.18, 5,077.44 and 3,647.50 is: 5,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.18 : 5,077.44 = 3,647.50 : x
  2. Step 2: Convert to fraction form
    3,675.18/5,077.44 = 3,647.50/x
  3. Step 3: Cross multiply
    3,675.18x = 5,077.44 × 3,647.50
  4. Step 4: Simplify right side
    3,675.18x = 18,519,918.78
  5. Step 5: Solve for x
    x = 18,519,918.78/3,675.18
  6. Step 6: Final answer
    x = 5,039.19

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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.