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Finding the Fourth Proportional to 3,857.25, 5,323.10 and 2,365.98

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Solution

The fourth proportional to 3,857.25, 5,323.10 and 2,365.98 is: 3,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.25 : 5,323.10 = 2,365.98 : x
  2. Step 2: Convert to fraction form
    3,857.25/5,323.10 = 2,365.98/x
  3. Step 3: Cross multiply
    3,857.25x = 5,323.10 × 2,365.98
  4. Step 4: Simplify right side
    3,857.25x = 12,594,336.31
  5. Step 5: Solve for x
    x = 12,594,336.31/3,857.25
  6. Step 6: Final answer
    x = 3,265.11

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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.