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Finding the Fourth Proportional to 5,924.98, 8,172.12 and 3,801.16

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Solution

The fourth proportional to 5,924.98, 8,172.12 and 3,801.16 is: 5,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.98 : 8,172.12 = 3,801.16 : x
  2. Step 2: Convert to fraction form
    5,924.98/8,172.12 = 3,801.16/x
  3. Step 3: Cross multiply
    5,924.98x = 8,172.12 × 3,801.16
  4. Step 4: Simplify right side
    5,924.98x = 31,063,535.66
  5. Step 5: Solve for x
    x = 31,063,535.66/5,924.98
  6. Step 6: Final answer
    x = 5,242.81

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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.