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Finding the Fourth Proportional to 5,288.96, 7,297.19 and 3,050.80

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Solution

The fourth proportional to 5,288.96, 7,297.19 and 3,050.80 is: 4,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.96 : 7,297.19 = 3,050.80 : x
  2. Step 2: Convert to fraction form
    5,288.96/7,297.19 = 3,050.80/x
  3. Step 3: Cross multiply
    5,288.96x = 7,297.19 × 3,050.80
  4. Step 4: Simplify right side
    5,288.96x = 22,262,245.20
  5. Step 5: Solve for x
    x = 22,262,245.20/5,288.96
  6. Step 6: Final answer
    x = 4,209.19

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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.