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Finding the Fourth Proportional to 4,582.90, 6,324.41 and 2,593.42

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Solution

The fourth proportional to 4,582.90, 6,324.41 and 2,593.42 is: 3,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.90 : 6,324.41 = 2,593.42 : x
  2. Step 2: Convert to fraction form
    4,582.90/6,324.41 = 2,593.42/x
  3. Step 3: Cross multiply
    4,582.90x = 6,324.41 × 2,593.42
  4. Step 4: Simplify right side
    4,582.90x = 16,401,851.38
  5. Step 5: Solve for x
    x = 16,401,851.38/4,582.90
  6. Step 6: Final answer
    x = 3,578.92

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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.