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Finding the Fourth Proportional to 6,100.79, 9,144.21 and 2,771.58

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Solution

The fourth proportional to 6,100.79, 9,144.21 and 2,771.58 is: 4,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.79 : 9,144.21 = 2,771.58 : x
  2. Step 2: Convert to fraction form
    6,100.79/9,144.21 = 2,771.58/x
  3. Step 3: Cross multiply
    6,100.79x = 9,144.21 × 2,771.58
  4. Step 4: Simplify right side
    6,100.79x = 25,343,909.55
  5. Step 5: Solve for x
    x = 25,343,909.55/6,100.79
  6. Step 6: Final answer
    x = 4,154.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.