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Finding the Fourth Proportional to 3,857.67, 5,323.65 and 2,265.45

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Solution

The fourth proportional to 3,857.67, 5,323.65 and 2,265.45 is: 3,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.67 : 5,323.65 = 2,265.45 : x
  2. Step 2: Convert to fraction form
    3,857.67/5,323.65 = 2,265.45/x
  3. Step 3: Cross multiply
    3,857.67x = 5,323.65 × 2,265.45
  4. Step 4: Simplify right side
    3,857.67x = 12,060,462.89
  5. Step 5: Solve for x
    x = 12,060,462.89/3,857.67
  6. Step 6: Final answer
    x = 3,126.36

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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.