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Finding the Fourth Proportional to 3,857.35, 5,323.15 and 2,088.96

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Solution

The fourth proportional to 3,857.35, 5,323.15 and 2,088.96 is: 2,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.35 : 5,323.15 = 2,088.96 : x
  2. Step 2: Convert to fraction form
    3,857.35/5,323.15 = 2,088.96/x
  3. Step 3: Cross multiply
    3,857.35x = 5,323.15 × 2,088.96
  4. Step 4: Simplify right side
    3,857.35x = 11,119,836.98
  5. Step 5: Solve for x
    x = 11,119,836.98/3,857.35
  6. Step 6: Final answer
    x = 2,882.77

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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.