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Finding the Fourth Proportional to 6,193.62, 8,548.44 and 3,677.10

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Solution

The fourth proportional to 6,193.62, 8,548.44 and 3,677.10 is: 5,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.62 : 8,548.44 = 3,677.10 : x
  2. Step 2: Convert to fraction form
    6,193.62/8,548.44 = 3,677.10/x
  3. Step 3: Cross multiply
    6,193.62x = 8,548.44 × 3,677.10
  4. Step 4: Simplify right side
    6,193.62x = 31,433,468.72
  5. Step 5: Solve for x
    x = 31,433,468.72/6,193.62
  6. Step 6: Final answer
    x = 5,075.14

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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.