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Finding the Fourth Proportional to 3,856.94, 5,322.58 and 2,088.55

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Solution

The fourth proportional to 3,856.94, 5,322.58 and 2,088.55 is: 2,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.94 : 5,322.58 = 2,088.55 : x
  2. Step 2: Convert to fraction form
    3,856.94/5,322.58 = 2,088.55/x
  3. Step 3: Cross multiply
    3,856.94x = 5,322.58 × 2,088.55
  4. Step 4: Simplify right side
    3,856.94x = 11,116,474.46
  5. Step 5: Solve for x
    x = 11,116,474.46/3,856.94
  6. Step 6: Final answer
    x = 2,882.20

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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.