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Finding the Fourth Proportional to 5,315.40, 7,333.98 and 3,077.22

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Solution

The fourth proportional to 5,315.40, 7,333.98 and 3,077.22 is: 4,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.40 : 7,333.98 = 3,077.22 : x
  2. Step 2: Convert to fraction form
    5,315.40/7,333.98 = 3,077.22/x
  3. Step 3: Cross multiply
    5,315.40x = 7,333.98 × 3,077.22
  4. Step 4: Simplify right side
    5,315.40x = 22,568,269.94
  5. Step 5: Solve for x
    x = 22,568,269.94/5,315.40
  6. Step 6: Final answer
    x = 4,245.83

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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.