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Finding the Fourth Proportional to 6,801.57, 10,194.46 and 3,881.93

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Solution

The fourth proportional to 6,801.57, 10,194.46 and 3,881.93 is: 5,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.57 : 10,194.46 = 3,881.93 : x
  2. Step 2: Convert to fraction form
    6,801.57/10,194.46 = 3,881.93/x
  3. Step 3: Cross multiply
    6,801.57x = 10,194.46 × 3,881.93
  4. Step 4: Simplify right side
    6,801.57x = 39,574,172.22
  5. Step 5: Solve for x
    x = 39,574,172.22/6,801.57
  6. Step 6: Final answer
    x = 5,818.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.