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Finding the Fourth Proportional to 5,308.38, 7,963.70 and 1,798.22

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Solution

The fourth proportional to 5,308.38, 7,963.70 and 1,798.22 is: 2,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.38 : 7,963.70 = 1,798.22 : x
  2. Step 2: Convert to fraction form
    5,308.38/7,963.70 = 1,798.22/x
  3. Step 3: Cross multiply
    5,308.38x = 7,963.70 × 1,798.22
  4. Step 4: Simplify right side
    5,308.38x = 14,320,435.80
  5. Step 5: Solve for x
    x = 14,320,435.80/5,308.38
  6. Step 6: Final answer
    x = 2,697.70

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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.