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Finding the Fourth Proportional to 2,857.86, 4,261.12 and 2,613.78

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Solution

The fourth proportional to 2,857.86, 4,261.12 and 2,613.78 is: 3,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.86 : 4,261.12 = 2,613.78 : x
  2. Step 2: Convert to fraction form
    2,857.86/4,261.12 = 2,613.78/x
  3. Step 3: Cross multiply
    2,857.86x = 4,261.12 × 2,613.78
  4. Step 4: Simplify right side
    2,857.86x = 11,137,649.48
  5. Step 5: Solve for x
    x = 11,137,649.48/2,857.86
  6. Step 6: Final answer
    x = 3,897.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.