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Finding the Fourth Proportional to 5,420.96, 7,480.98 and 3,182.86

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Solution

The fourth proportional to 5,420.96, 7,480.98 and 3,182.86 is: 4,392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.96 : 7,480.98 = 3,182.86 : x
  2. Step 2: Convert to fraction form
    5,420.96/7,480.98 = 3,182.86/x
  3. Step 3: Cross multiply
    5,420.96x = 7,480.98 × 3,182.86
  4. Step 4: Simplify right side
    5,420.96x = 23,810,858.68
  5. Step 5: Solve for x
    x = 23,810,858.68/5,420.96
  6. Step 6: Final answer
    x = 4,392.37

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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.