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Finding the Fourth Proportional to 4,805.17, 6,634.14 and 3,683.98

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Solution

The fourth proportional to 4,805.17, 6,634.14 and 3,683.98 is: 5,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.17 : 6,634.14 = 3,683.98 : x
  2. Step 2: Convert to fraction form
    4,805.17/6,634.14 = 3,683.98/x
  3. Step 3: Cross multiply
    4,805.17x = 6,634.14 × 3,683.98
  4. Step 4: Simplify right side
    4,805.17x = 24,440,039.08
  5. Step 5: Solve for x
    x = 24,440,039.08/4,805.17
  6. Step 6: Final answer
    x = 5,086.20

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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.