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Finding the Fourth Proportional to 5,619.68, 8,389.86 and 4,296.44

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Solution

The fourth proportional to 5,619.68, 8,389.86 and 4,296.44 is: 6,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619.68 : 8,389.86 = 4,296.44 : x
  2. Step 2: Convert to fraction form
    5,619.68/8,389.86 = 4,296.44/x
  3. Step 3: Cross multiply
    5,619.68x = 8,389.86 × 4,296.44
  4. Step 4: Simplify right side
    5,619.68x = 36,046,530.10
  5. Step 5: Solve for x
    x = 36,046,530.10/5,619.68
  6. Step 6: Final answer
    x = 6,414.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.