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Finding the Fourth Proportional to 5,924.99, 8,174.64 and 3,406.17

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Solution

The fourth proportional to 5,924.99, 8,174.64 and 3,406.17 is: 4,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.99 : 8,174.64 = 3,406.17 : x
  2. Step 2: Convert to fraction form
    5,924.99/8,174.64 = 3,406.17/x
  3. Step 3: Cross multiply
    5,924.99x = 8,174.64 × 3,406.17
  4. Step 4: Simplify right side
    5,924.99x = 27,844,213.53
  5. Step 5: Solve for x
    x = 27,844,213.53/5,924.99
  6. Step 6: Final answer
    x = 4,699.46

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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.