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Finding the Fourth Proportional to 5,830.56, 8,742.72 and 1,933.56

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Solution

The fourth proportional to 5,830.56, 8,742.72 and 1,933.56 is: 2,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.56 : 8,742.72 = 1,933.56 : x
  2. Step 2: Convert to fraction form
    5,830.56/8,742.72 = 1,933.56/x
  3. Step 3: Cross multiply
    5,830.56x = 8,742.72 × 1,933.56
  4. Step 4: Simplify right side
    5,830.56x = 16,904,573.68
  5. Step 5: Solve for x
    x = 16,904,573.68/5,830.56
  6. Step 6: Final answer
    x = 2,899.31

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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.