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Finding the Fourth Proportional to 3,377.13, 5,062.24 and 1,296.60

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Solution

The fourth proportional to 3,377.13, 5,062.24 and 1,296.60 is: 1,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.13 : 5,062.24 = 1,296.60 : x
  2. Step 2: Convert to fraction form
    3,377.13/5,062.24 = 1,296.60/x
  3. Step 3: Cross multiply
    3,377.13x = 5,062.24 × 1,296.60
  4. Step 4: Simplify right side
    3,377.13x = 6,563,702.00
  5. Step 5: Solve for x
    x = 6,563,702.00/3,377.13
  6. Step 6: Final answer
    x = 1,943.57

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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.