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Finding the Fourth Proportional to 3,856.98, 5,322.61 and 2,088.57

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Solution

The fourth proportional to 3,856.98, 5,322.61 and 2,088.57 is: 2,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.98 : 5,322.61 = 2,088.57 : x
  2. Step 2: Convert to fraction form
    3,856.98/5,322.61 = 2,088.57/x
  3. Step 3: Cross multiply
    3,856.98x = 5,322.61 × 2,088.57
  4. Step 4: Simplify right side
    3,856.98x = 11,116,606.51
  5. Step 5: Solve for x
    x = 11,116,606.51/3,856.98
  6. Step 6: Final answer
    x = 2,882.21

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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.