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Finding the Fourth Proportional to 3,856.89, 5,322.51 and 2,088.50

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Solution

The fourth proportional to 3,856.89, 5,322.51 and 2,088.50 is: 2,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.89 : 5,322.51 = 2,088.50 : x
  2. Step 2: Convert to fraction form
    3,856.89/5,322.51 = 2,088.50/x
  3. Step 3: Cross multiply
    3,856.89x = 5,322.51 × 2,088.50
  4. Step 4: Simplify right side
    3,856.89x = 11,116,054.05
  5. Step 5: Solve for x
    x = 11,116,054.05/3,856.89
  6. Step 6: Final answer
    x = 2,882.13

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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.