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Finding the Fourth Proportional to 4,661.46, 6,991.96 and 1,739.53

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Solution

The fourth proportional to 4,661.46, 6,991.96 and 1,739.53 is: 2,609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.46 : 6,991.96 = 1,739.53 : x
  2. Step 2: Convert to fraction form
    4,661.46/6,991.96 = 1,739.53/x
  3. Step 3: Cross multiply
    4,661.46x = 6,991.96 × 1,739.53
  4. Step 4: Simplify right side
    4,661.46x = 12,162,715.48
  5. Step 5: Solve for x
    x = 12,162,715.48/4,661.46
  6. Step 6: Final answer
    x = 2,609.21

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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.