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Finding the Fourth Proportional to 4,516.74, 6,768.63 and 2,974.50

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Solution

The fourth proportional to 4,516.74, 6,768.63 and 2,974.50 is: 4,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.74 : 6,768.63 = 2,974.50 : x
  2. Step 2: Convert to fraction form
    4,516.74/6,768.63 = 2,974.50/x
  3. Step 3: Cross multiply
    4,516.74x = 6,768.63 × 2,974.50
  4. Step 4: Simplify right side
    4,516.74x = 20,133,289.94
  5. Step 5: Solve for x
    x = 20,133,289.94/4,516.74
  6. Step 6: Final answer
    x = 4,457.48

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Why These Related Problems?

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