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Finding the Fourth Proportional to 3,856.64, 5,322.20 and 2,088.29

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Solution

The fourth proportional to 3,856.64, 5,322.20 and 2,088.29 is: 2,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.64 : 5,322.20 = 2,088.29 : x
  2. Step 2: Convert to fraction form
    3,856.64/5,322.20 = 2,088.29/x
  3. Step 3: Cross multiply
    3,856.64x = 5,322.20 × 2,088.29
  4. Step 4: Simplify right side
    3,856.64x = 11,114,275.65
  5. Step 5: Solve for x
    x = 11,114,275.65/3,856.64
  6. Step 6: Final answer
    x = 2,881.85

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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.