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Finding the Fourth Proportional to 5,594.63, 8,394.64 and 2,134.31

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Solution

The fourth proportional to 5,594.63, 8,394.64 and 2,134.31 is: 3,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594.63 : 8,394.64 = 2,134.31 : x
  2. Step 2: Convert to fraction form
    5,594.63/8,394.64 = 2,134.31/x
  3. Step 3: Cross multiply
    5,594.63x = 8,394.64 × 2,134.31
  4. Step 4: Simplify right side
    5,594.63x = 17,916,716.79
  5. Step 5: Solve for x
    x = 17,916,716.79/5,594.63
  6. Step 6: Final answer
    x = 3,202.49

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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.