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Finding the Fourth Proportional to 6,580.89, 9,077.39 and 3,926.25

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Solution

The fourth proportional to 6,580.89, 9,077.39 and 3,926.25 is: 5,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.89 : 9,077.39 = 3,926.25 : x
  2. Step 2: Convert to fraction form
    6,580.89/9,077.39 = 3,926.25/x
  3. Step 3: Cross multiply
    6,580.89x = 9,077.39 × 3,926.25
  4. Step 4: Simplify right side
    6,580.89x = 35,640,082.86
  5. Step 5: Solve for x
    x = 35,640,082.86/6,580.89
  6. Step 6: Final answer
    x = 5,415.69

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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.