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Finding the Fourth Proportional to 5,845.86, 8,758.89 and 3,532.50

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Solution

The fourth proportional to 5,845.86, 8,758.89 and 3,532.50 is: 5,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.86 : 8,758.89 = 3,532.50 : x
  2. Step 2: Convert to fraction form
    5,845.86/8,758.89 = 3,532.50/x
  3. Step 3: Cross multiply
    5,845.86x = 8,758.89 × 3,532.50
  4. Step 4: Simplify right side
    5,845.86x = 30,940,778.93
  5. Step 5: Solve for x
    x = 30,940,778.93/5,845.86
  6. Step 6: Final answer
    x = 5,292.77

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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.