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Finding the Fourth Proportional to 4,615.12, 6,926 and 1,840.18

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Solution

The fourth proportional to 4,615.12, 6,926 and 1,840.18 is: 2,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.12 : 6,926 = 1,840.18 : x
  2. Step 2: Convert to fraction form
    4,615.12/6,926 = 1,840.18/x
  3. Step 3: Cross multiply
    4,615.12x = 6,926 × 1,840.18
  4. Step 4: Simplify right side
    4,615.12x = 12,745,086.68
  5. Step 5: Solve for x
    x = 12,745,086.68/4,615.12
  6. Step 6: Final answer
    x = 2,761.59

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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.