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Finding the Fourth Proportional to 4,254.76, 6,343.97 and 4,177

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Solution

The fourth proportional to 4,254.76, 6,343.97 and 4,177 is: 6,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.76 : 6,343.97 = 4,177 : x
  2. Step 2: Convert to fraction form
    4,254.76/6,343.97 = 4,177/x
  3. Step 3: Cross multiply
    4,254.76x = 6,343.97 × 4,177
  4. Step 4: Simplify right side
    4,254.76x = 26,498,762.69
  5. Step 5: Solve for x
    x = 26,498,762.69/4,254.76
  6. Step 6: Final answer
    x = 6,228.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.