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Finding the Fourth Proportional to 5,859.69, 8,783.89 and 2,159.90

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Solution

The fourth proportional to 5,859.69, 8,783.89 and 2,159.90 is: 3,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.69 : 8,783.89 = 2,159.90 : x
  2. Step 2: Convert to fraction form
    5,859.69/8,783.89 = 2,159.90/x
  3. Step 3: Cross multiply
    5,859.69x = 8,783.89 × 2,159.90
  4. Step 4: Simplify right side
    5,859.69x = 18,972,324.01
  5. Step 5: Solve for x
    x = 18,972,324.01/5,859.69
  6. Step 6: Final answer
    x = 3,237.77

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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.