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Finding the Fourth Proportional to 5,912.33, 8,880.71 and 5,715.50

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Solution

The fourth proportional to 5,912.33, 8,880.71 and 5,715.50 is: 8,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.33 : 8,880.71 = 5,715.50 : x
  2. Step 2: Convert to fraction form
    5,912.33/8,880.71 = 5,715.50/x
  3. Step 3: Cross multiply
    5,912.33x = 8,880.71 × 5,715.50
  4. Step 4: Simplify right side
    5,912.33x = 50,757,625.02
  5. Step 5: Solve for x
    x = 50,757,625.02/5,912.33
  6. Step 6: Final answer
    x = 8,585.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.