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Finding the Fourth Proportional to 5,583.63, 8,375.46 and 1,884.87

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Solution

The fourth proportional to 5,583.63, 8,375.46 and 1,884.87 is: 2,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.63 : 8,375.46 = 1,884.87 : x
  2. Step 2: Convert to fraction form
    5,583.63/8,375.46 = 1,884.87/x
  3. Step 3: Cross multiply
    5,583.63x = 8,375.46 × 1,884.87
  4. Step 4: Simplify right side
    5,583.63x = 15,786,653.29
  5. Step 5: Solve for x
    x = 15,786,653.29/5,583.63
  6. Step 6: Final answer
    x = 2,827.31

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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.