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Finding the Fourth Proportional to 3,293.53, 4,545.86 and 1,968.03

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Solution

The fourth proportional to 3,293.53, 4,545.86 and 1,968.03 is: 2,716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.53 : 4,545.86 = 1,968.03 : x
  2. Step 2: Convert to fraction form
    3,293.53/4,545.86 = 1,968.03/x
  3. Step 3: Cross multiply
    3,293.53x = 4,545.86 × 1,968.03
  4. Step 4: Simplify right side
    3,293.53x = 8,946,379.02
  5. Step 5: Solve for x
    x = 8,946,379.02/3,293.53
  6. Step 6: Final answer
    x = 2,716.35

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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.