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Finding the Fourth Proportional to 5,859, 8,766.86 and 5,195.61

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Solution

The fourth proportional to 5,859, 8,766.86 and 5,195.61 is: 7,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859 : 8,766.86 = 5,195.61 : x
  2. Step 2: Convert to fraction form
    5,859/8,766.86 = 5,195.61/x
  3. Step 3: Cross multiply
    5,859x = 8,766.86 × 5,195.61
  4. Step 4: Simplify right side
    5,859x = 45,549,159.51
  5. Step 5: Solve for x
    x = 45,549,159.51/5,859
  6. Step 6: Final answer
    x = 7,774.22

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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.