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Finding the Fourth Proportional to 5,610.26, 7,736.90 and 4,434.14

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Solution

The fourth proportional to 5,610.26, 7,736.90 and 4,434.14 is: 6,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.26 : 7,736.90 = 4,434.14 : x
  2. Step 2: Convert to fraction form
    5,610.26/7,736.90 = 4,434.14/x
  3. Step 3: Cross multiply
    5,610.26x = 7,736.90 × 4,434.14
  4. Step 4: Simplify right side
    5,610.26x = 34,306,497.77
  5. Step 5: Solve for x
    x = 34,306,497.77/5,610.26
  6. Step 6: Final answer
    x = 6,114.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.