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Finding the Fourth Proportional to 3,584.65, 5,369.78 and 1,829.58

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Solution

The fourth proportional to 3,584.65, 5,369.78 and 1,829.58 is: 2,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.65 : 5,369.78 = 1,829.58 : x
  2. Step 2: Convert to fraction form
    3,584.65/5,369.78 = 1,829.58/x
  3. Step 3: Cross multiply
    3,584.65x = 5,369.78 × 1,829.58
  4. Step 4: Simplify right side
    3,584.65x = 9,824,446.67
  5. Step 5: Solve for x
    x = 9,824,446.67/3,584.65
  6. Step 6: Final answer
    x = 2,740.70

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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.