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Finding the Fourth Proportional to 3,523.60, 5,285.40 and 1,968.40

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Solution

The fourth proportional to 3,523.60, 5,285.40 and 1,968.40 is: 2,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.60 : 5,285.40 = 1,968.40 : x
  2. Step 2: Convert to fraction form
    3,523.60/5,285.40 = 1,968.40/x
  3. Step 3: Cross multiply
    3,523.60x = 5,285.40 × 1,968.40
  4. Step 4: Simplify right side
    3,523.60x = 10,403,781.36
  5. Step 5: Solve for x
    x = 10,403,781.36/3,523.60
  6. Step 6: Final answer
    x = 2,952.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.