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Finding the Fourth Proportional to 3,962.85, 5,468.64 and 2,194.53

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Solution

The fourth proportional to 3,962.85, 5,468.64 and 2,194.53 is: 3,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.85 : 5,468.64 = 2,194.53 : x
  2. Step 2: Convert to fraction form
    3,962.85/5,468.64 = 2,194.53/x
  3. Step 3: Cross multiply
    3,962.85x = 5,468.64 × 2,194.53
  4. Step 4: Simplify right side
    3,962.85x = 12,001,094.54
  5. Step 5: Solve for x
    x = 12,001,094.54/3,962.85
  6. Step 6: Final answer
    x = 3,028.40

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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.