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Finding the Fourth Proportional to 4,531.69, 6,796.72 and 1,199.96

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Solution

The fourth proportional to 4,531.69, 6,796.72 and 1,199.96 is: 1,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.69 : 6,796.72 = 1,199.96 : x
  2. Step 2: Convert to fraction form
    4,531.69/6,796.72 = 1,199.96/x
  3. Step 3: Cross multiply
    4,531.69x = 6,796.72 × 1,199.96
  4. Step 4: Simplify right side
    4,531.69x = 8,155,752.15
  5. Step 5: Solve for x
    x = 8,155,752.15/4,531.69
  6. Step 6: Final answer
    x = 1,799.72

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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.