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Finding the Fourth Proportional to 5,308.77, 7,327.02 and 3,971.07

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Solution

The fourth proportional to 5,308.77, 7,327.02 and 3,971.07 is: 5,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.77 : 7,327.02 = 3,971.07 : x
  2. Step 2: Convert to fraction form
    5,308.77/7,327.02 = 3,971.07/x
  3. Step 3: Cross multiply
    5,308.77x = 7,327.02 × 3,971.07
  4. Step 4: Simplify right side
    5,308.77x = 29,096,109.31
  5. Step 5: Solve for x
    x = 29,096,109.31/5,308.77
  6. Step 6: Final answer
    x = 5,480.76

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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.