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Finding the Fourth Proportional to 5,835.16, 8,745.39 and 4,166.66

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Solution

The fourth proportional to 5,835.16, 8,745.39 and 4,166.66 is: 6,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.16 : 8,745.39 = 4,166.66 : x
  2. Step 2: Convert to fraction form
    5,835.16/8,745.39 = 4,166.66/x
  3. Step 3: Cross multiply
    5,835.16x = 8,745.39 × 4,166.66
  4. Step 4: Simplify right side
    5,835.16x = 36,439,022.97
  5. Step 5: Solve for x
    x = 36,439,022.97/5,835.16
  6. Step 6: Final answer
    x = 6,244.74

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1.5x scale

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.