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Finding the Fourth Proportional to 5,906.64, 8,860.77 and 1,746.98

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Solution

The fourth proportional to 5,906.64, 8,860.77 and 1,746.98 is: 2,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.64 : 8,860.77 = 1,746.98 : x
  2. Step 2: Convert to fraction form
    5,906.64/8,860.77 = 1,746.98/x
  3. Step 3: Cross multiply
    5,906.64x = 8,860.77 × 1,746.98
  4. Step 4: Simplify right side
    5,906.64x = 15,479,572.37
  5. Step 5: Solve for x
    x = 15,479,572.37/5,906.64
  6. Step 6: Final answer
    x = 2,620.71

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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.