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Finding the Fourth Proportional to 5,761.53, 8,645.94 and 2,840.06

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Solution

The fourth proportional to 5,761.53, 8,645.94 and 2,840.06 is: 4,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.53 : 8,645.94 = 2,840.06 : x
  2. Step 2: Convert to fraction form
    5,761.53/8,645.94 = 2,840.06/x
  3. Step 3: Cross multiply
    5,761.53x = 8,645.94 × 2,840.06
  4. Step 4: Simplify right side
    5,761.53x = 24,555,009.97
  5. Step 5: Solve for x
    x = 24,555,009.97/5,761.53
  6. Step 6: Final answer
    x = 4,261.89

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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.