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Finding the Fourth Proportional to 5,311.50, 7,911.15 and 5,033.94

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Solution

The fourth proportional to 5,311.50, 7,911.15 and 5,033.94 is: 7,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.50 : 7,911.15 = 5,033.94 : x
  2. Step 2: Convert to fraction form
    5,311.50/7,911.15 = 5,033.94/x
  3. Step 3: Cross multiply
    5,311.50x = 7,911.15 × 5,033.94
  4. Step 4: Simplify right side
    5,311.50x = 39,824,254.43
  5. Step 5: Solve for x
    x = 39,824,254.43/5,311.50
  6. Step 6: Final answer
    x = 7,497.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.