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Finding the Fourth Proportional to 5,681.25, 7,841.21 and 3,197.25

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Solution

The fourth proportional to 5,681.25, 7,841.21 and 3,197.25 is: 4,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.25 : 7,841.21 = 3,197.25 : x
  2. Step 2: Convert to fraction form
    5,681.25/7,841.21 = 3,197.25/x
  3. Step 3: Cross multiply
    5,681.25x = 7,841.21 × 3,197.25
  4. Step 4: Simplify right side
    5,681.25x = 25,070,292.69
  5. Step 5: Solve for x
    x = 25,070,292.69/5,681.25
  6. Step 6: Final answer
    x = 4,412.81

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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.