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Finding the Fourth Proportional to 3,857.36, 5,323.10 and 2,088.94

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Solution

The fourth proportional to 3,857.36, 5,323.10 and 2,088.94 is: 2,882.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.36 : 5,323.10 = 2,088.94 : x
  2. Step 2: Convert to fraction form
    3,857.36/5,323.10 = 2,088.94/x
  3. Step 3: Cross multiply
    3,857.36x = 5,323.10 × 2,088.94
  4. Step 4: Simplify right side
    3,857.36x = 11,119,636.51
  5. Step 5: Solve for x
    x = 11,119,636.51/3,857.36
  6. Step 6: Final answer
    x = 2,882.71

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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.