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Finding the Fourth Proportional to 6,061.62, 8,361.40 and 3,699.66

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Solution

The fourth proportional to 6,061.62, 8,361.40 and 3,699.66 is: 5,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.62 : 8,361.40 = 3,699.66 : x
  2. Step 2: Convert to fraction form
    6,061.62/8,361.40 = 3,699.66/x
  3. Step 3: Cross multiply
    6,061.62x = 8,361.40 × 3,699.66
  4. Step 4: Simplify right side
    6,061.62x = 30,934,337.12
  5. Step 5: Solve for x
    x = 30,934,337.12/6,061.62
  6. Step 6: Final answer
    x = 5,103.31

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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.