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Finding the Fourth Proportional to 5,906.62, 8,860.05 and 1,746.63

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Solution

The fourth proportional to 5,906.62, 8,860.05 and 1,746.63 is: 2,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.62 : 8,860.05 = 1,746.63 : x
  2. Step 2: Convert to fraction form
    5,906.62/8,860.05 = 1,746.63/x
  3. Step 3: Cross multiply
    5,906.62x = 8,860.05 × 1,746.63
  4. Step 4: Simplify right side
    5,906.62x = 15,475,184.83
  5. Step 5: Solve for x
    x = 15,475,184.83/5,906.62
  6. Step 6: Final answer
    x = 2,619.97

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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.