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Finding the Fourth Proportional to 5,194.83, 7,152.25 and 4,203.39

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Solution

The fourth proportional to 5,194.83, 7,152.25 and 4,203.39 is: 5,787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.83 : 7,152.25 = 4,203.39 : x
  2. Step 2: Convert to fraction form
    5,194.83/7,152.25 = 4,203.39/x
  3. Step 3: Cross multiply
    5,194.83x = 7,152.25 × 4,203.39
  4. Step 4: Simplify right side
    5,194.83x = 30,063,720.32
  5. Step 5: Solve for x
    x = 30,063,720.32/5,194.83
  6. Step 6: Final answer
    x = 5,787.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.