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Finding the Fourth Proportional to 5,209.96, 7,188.24 and 3,113.68

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Solution

The fourth proportional to 5,209.96, 7,188.24 and 3,113.68 is: 4,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.96 : 7,188.24 = 3,113.68 : x
  2. Step 2: Convert to fraction form
    5,209.96/7,188.24 = 3,113.68/x
  3. Step 3: Cross multiply
    5,209.96x = 7,188.24 × 3,113.68
  4. Step 4: Simplify right side
    5,209.96x = 22,381,879.12
  5. Step 5: Solve for x
    x = 22,381,879.12/5,209.96
  6. Step 6: Final answer
    x = 4,295.98

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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.