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Finding the Fourth Proportional to 5,617.95, 7,753.44 and 3,380.94

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Solution

The fourth proportional to 5,617.95, 7,753.44 and 3,380.94 is: 4,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.95 : 7,753.44 = 3,380.94 : x
  2. Step 2: Convert to fraction form
    5,617.95/7,753.44 = 3,380.94/x
  3. Step 3: Cross multiply
    5,617.95x = 7,753.44 × 3,380.94
  4. Step 4: Simplify right side
    5,617.95x = 26,213,915.43
  5. Step 5: Solve for x
    x = 26,213,915.43/5,617.95
  6. Step 6: Final answer
    x = 4,666.10

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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.