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Finding the Fourth Proportional to 5,620.74, 7,735.82 and 4,126.29

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Solution

The fourth proportional to 5,620.74, 7,735.82 and 4,126.29 is: 5,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.74 : 7,735.82 = 4,126.29 : x
  2. Step 2: Convert to fraction form
    5,620.74/7,735.82 = 4,126.29/x
  3. Step 3: Cross multiply
    5,620.74x = 7,735.82 × 4,126.29
  4. Step 4: Simplify right side
    5,620.74x = 31,920,216.08
  5. Step 5: Solve for x
    x = 31,920,216.08/5,620.74
  6. Step 6: Final answer
    x = 5,679.01

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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.