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Finding the Fourth Proportional to 5,740.56, 8,610.93 and 1,845

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Solution

The fourth proportional to 5,740.56, 8,610.93 and 1,845 is: 2,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.56 : 8,610.93 = 1,845 : x
  2. Step 2: Convert to fraction form
    5,740.56/8,610.93 = 1,845/x
  3. Step 3: Cross multiply
    5,740.56x = 8,610.93 × 1,845
  4. Step 4: Simplify right side
    5,740.56x = 15,887,165.85
  5. Step 5: Solve for x
    x = 15,887,165.85/5,740.56
  6. Step 6: Final answer
    x = 2,767.53

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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.