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Finding the Fourth Proportional to 6,193.79, 8,549.72 and 4,523.79

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Solution

The fourth proportional to 6,193.79, 8,549.72 and 4,523.79 is: 6,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.79 : 8,549.72 = 4,523.79 : x
  2. Step 2: Convert to fraction form
    6,193.79/8,549.72 = 4,523.79/x
  3. Step 3: Cross multiply
    6,193.79x = 8,549.72 × 4,523.79
  4. Step 4: Simplify right side
    6,193.79x = 38,677,137.84
  5. Step 5: Solve for x
    x = 38,677,137.84/6,193.79
  6. Step 6: Final answer
    x = 6,244.50

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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.