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Finding the Fourth Proportional to 3,785.64, 5,224.95 and 2,214.24

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Solution

The fourth proportional to 3,785.64, 5,224.95 and 2,214.24 is: 3,056.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.64 : 5,224.95 = 2,214.24 : x
  2. Step 2: Convert to fraction form
    3,785.64/5,224.95 = 2,214.24/x
  3. Step 3: Cross multiply
    3,785.64x = 5,224.95 × 2,214.24
  4. Step 4: Simplify right side
    3,785.64x = 11,569,293.29
  5. Step 5: Solve for x
    x = 11,569,293.29/3,785.64
  6. Step 6: Final answer
    x = 3,056.10

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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.