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Finding the Fourth Proportional to 4,516.76, 6,777.06 and 2,434.35

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Solution

The fourth proportional to 4,516.76, 6,777.06 and 2,434.35 is: 3,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.76 : 6,777.06 = 2,434.35 : x
  2. Step 2: Convert to fraction form
    4,516.76/6,777.06 = 2,434.35/x
  3. Step 3: Cross multiply
    4,516.76x = 6,777.06 × 2,434.35
  4. Step 4: Simplify right side
    4,516.76x = 16,497,736.01
  5. Step 5: Solve for x
    x = 16,497,736.01/4,516.76
  6. Step 6: Final answer
    x = 3,652.56

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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.