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Finding the Fourth Proportional to 3,856.88, 5,322.52 and 2,088.50

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Solution

The fourth proportional to 3,856.88, 5,322.52 and 2,088.50 is: 2,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.88 : 5,322.52 = 2,088.50 : x
  2. Step 2: Convert to fraction form
    3,856.88/5,322.52 = 2,088.50/x
  3. Step 3: Cross multiply
    3,856.88x = 5,322.52 × 2,088.50
  4. Step 4: Simplify right side
    3,856.88x = 11,116,083.02
  5. Step 5: Solve for x
    x = 11,116,083.02/3,856.88
  6. Step 6: Final answer
    x = 2,882.14

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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.