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Finding the Fourth Proportional to 5,580.96, 7,697.05 and 4,066.46

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Solution

The fourth proportional to 5,580.96, 7,697.05 and 4,066.46 is: 5,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.96 : 7,697.05 = 4,066.46 : x
  2. Step 2: Convert to fraction form
    5,580.96/7,697.05 = 4,066.46/x
  3. Step 3: Cross multiply
    5,580.96x = 7,697.05 × 4,066.46
  4. Step 4: Simplify right side
    5,580.96x = 31,299,745.94
  5. Step 5: Solve for x
    x = 31,299,745.94/5,580.96
  6. Step 6: Final answer
    x = 5,608.31

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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.