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Finding the Fourth Proportional to 5,583.83, 8,375.16 and 2,809.37

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Solution

The fourth proportional to 5,583.83, 8,375.16 and 2,809.37 is: 4,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.83 : 8,375.16 = 2,809.37 : x
  2. Step 2: Convert to fraction form
    5,583.83/8,375.16 = 2,809.37/x
  3. Step 3: Cross multiply
    5,583.83x = 8,375.16 × 2,809.37
  4. Step 4: Simplify right side
    5,583.83x = 23,528,881.37
  5. Step 5: Solve for x
    x = 23,528,881.37/5,583.83
  6. Step 6: Final answer
    x = 4,213.76

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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.