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Finding the Fourth Proportional to 4,397.96, 6,586.53 and 3,817.69

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Solution

The fourth proportional to 4,397.96, 6,586.53 and 3,817.69 is: 5,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.96 : 6,586.53 = 3,817.69 : x
  2. Step 2: Convert to fraction form
    4,397.96/6,586.53 = 3,817.69/x
  3. Step 3: Cross multiply
    4,397.96x = 6,586.53 × 3,817.69
  4. Step 4: Simplify right side
    4,397.96x = 25,145,329.72
  5. Step 5: Solve for x
    x = 25,145,329.72/4,397.96
  6. Step 6: Final answer
    x = 5,717.50

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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.