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Finding the Fourth Proportional to 5,809.79, 8,711.60 and 2,299.66

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Solution

The fourth proportional to 5,809.79, 8,711.60 and 2,299.66 is: 3,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.79 : 8,711.60 = 2,299.66 : x
  2. Step 2: Convert to fraction form
    5,809.79/8,711.60 = 2,299.66/x
  3. Step 3: Cross multiply
    5,809.79x = 8,711.60 × 2,299.66
  4. Step 4: Simplify right side
    5,809.79x = 20,033,663.00
  5. Step 5: Solve for x
    x = 20,033,663.00/5,809.79
  6. Step 6: Final answer
    x = 3,448.26

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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.