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Finding the Fourth Proportional to 3,962.30, 5,468.01 and 2,194.00

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Solution

The fourth proportional to 3,962.30, 5,468.01 and 2,194.00 is: 3,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.30 : 5,468.01 = 2,194.00 : x
  2. Step 2: Convert to fraction form
    3,962.30/5,468.01 = 2,194.00/x
  3. Step 3: Cross multiply
    3,962.30x = 5,468.01 × 2,194.00
  4. Step 4: Simplify right side
    3,962.30x = 11,996,792.04
  5. Step 5: Solve for x
    x = 11,996,792.04/3,962.30
  6. Step 6: Final answer
    x = 3,027.74

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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.