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Finding the Fourth Proportional to 3,810.69, 5,716.19 and 1,730.64

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Solution

The fourth proportional to 3,810.69, 5,716.19 and 1,730.64 is: 2,596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.69 : 5,716.19 = 1,730.64 : x
  2. Step 2: Convert to fraction form
    3,810.69/5,716.19 = 1,730.64/x
  3. Step 3: Cross multiply
    3,810.69x = 5,716.19 × 1,730.64
  4. Step 4: Simplify right side
    3,810.69x = 9,892,658.41
  5. Step 5: Solve for x
    x = 9,892,658.41/3,810.69
  6. Step 6: Final answer
    x = 2,596.03

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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.