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Finding the Fourth Proportional to 4,193.88, 5,783.58 and 3,197.40

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Solution

The fourth proportional to 4,193.88, 5,783.58 and 3,197.40 is: 4,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.88 : 5,783.58 = 3,197.40 : x
  2. Step 2: Convert to fraction form
    4,193.88/5,783.58 = 3,197.40/x
  3. Step 3: Cross multiply
    4,193.88x = 5,783.58 × 3,197.40
  4. Step 4: Simplify right side
    4,193.88x = 18,492,418.69
  5. Step 5: Solve for x
    x = 18,492,418.69/4,193.88
  6. Step 6: Final answer
    x = 4,409.38

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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.