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Finding the Fourth Proportional to 8,580.52, 12,868.02 and 2,735.75

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Solution

The fourth proportional to 8,580.52, 12,868.02 and 2,735.75 is: 4,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.52 : 12,868.02 = 2,735.75 : x
  2. Step 2: Convert to fraction form
    8,580.52/12,868.02 = 2,735.75/x
  3. Step 3: Cross multiply
    8,580.52x = 12,868.02 × 2,735.75
  4. Step 4: Simplify right side
    8,580.52x = 35,203,685.72
  5. Step 5: Solve for x
    x = 35,203,685.72/8,580.52
  6. Step 6: Final answer
    x = 4,102.75

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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.