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Finding the Fourth Proportional to 3,857.86, 5,322.54 and 2,531.44

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Solution

The fourth proportional to 3,857.86, 5,322.54 and 2,531.44 is: 3,492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.86 : 5,322.54 = 2,531.44 : x
  2. Step 2: Convert to fraction form
    3,857.86/5,322.54 = 2,531.44/x
  3. Step 3: Cross multiply
    3,857.86x = 5,322.54 × 2,531.44
  4. Step 4: Simplify right side
    3,857.86x = 13,473,690.66
  5. Step 5: Solve for x
    x = 13,473,690.66/3,857.86
  6. Step 6: Final answer
    x = 3,492.53

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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.