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Finding the Fourth Proportional to 4,310, 6,465.23 and 1,843.14

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Solution

The fourth proportional to 4,310, 6,465.23 and 1,843.14 is: 2,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310 : 6,465.23 = 1,843.14 : x
  2. Step 2: Convert to fraction form
    4,310/6,465.23 = 1,843.14/x
  3. Step 3: Cross multiply
    4,310x = 6,465.23 × 1,843.14
  4. Step 4: Simplify right side
    4,310x = 11,916,324.02
  5. Step 5: Solve for x
    x = 11,916,324.02/4,310
  6. Step 6: Final answer
    x = 2,764.81

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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.