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Finding the Fourth Proportional to 4,293.26, 5,924.64 and 2,614.22

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Solution

The fourth proportional to 4,293.26, 5,924.64 and 2,614.22 is: 3,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.26 : 5,924.64 = 2,614.22 : x
  2. Step 2: Convert to fraction form
    4,293.26/5,924.64 = 2,614.22/x
  3. Step 3: Cross multiply
    4,293.26x = 5,924.64 × 2,614.22
  4. Step 4: Simplify right side
    4,293.26x = 15,488,312.38
  5. Step 5: Solve for x
    x = 15,488,312.38/4,293.26
  6. Step 6: Final answer
    x = 3,607.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.