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Finding the Fourth Proportional to 3,859.68, 5,784.66 and 2,542.62

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Solution

The fourth proportional to 3,859.68, 5,784.66 and 2,542.62 is: 3,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.68 : 5,784.66 = 2,542.62 : x
  2. Step 2: Convert to fraction form
    3,859.68/5,784.66 = 2,542.62/x
  3. Step 3: Cross multiply
    3,859.68x = 5,784.66 × 2,542.62
  4. Step 4: Simplify right side
    3,859.68x = 14,708,192.21
  5. Step 5: Solve for x
    x = 14,708,192.21/3,859.68
  6. Step 6: Final answer
    x = 3,810.73

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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.