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Finding the Fourth Proportional to 3,857.26, 5,323 and 2,088.86

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Solution

The fourth proportional to 3,857.26, 5,323 and 2,088.86 is: 2,882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.26 : 5,323 = 2,088.86 : x
  2. Step 2: Convert to fraction form
    3,857.26/5,323 = 2,088.86/x
  3. Step 3: Cross multiply
    3,857.26x = 5,323 × 2,088.86
  4. Step 4: Simplify right side
    3,857.26x = 11,119,001.78
  5. Step 5: Solve for x
    x = 11,119,001.78/3,857.26
  6. Step 6: Final answer
    x = 2,882.62

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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.