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Finding the Fourth Proportional to 4,582.86, 6,324.30 and 2,593.38

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Solution

The fourth proportional to 4,582.86, 6,324.30 and 2,593.38 is: 3,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.86 : 6,324.30 = 2,593.38 : x
  2. Step 2: Convert to fraction form
    4,582.86/6,324.30 = 2,593.38/x
  3. Step 3: Cross multiply
    4,582.86x = 6,324.30 × 2,593.38
  4. Step 4: Simplify right side
    4,582.86x = 16,401,313.13
  5. Step 5: Solve for x
    x = 16,401,313.13/4,582.86
  6. Step 6: Final answer
    x = 3,578.84

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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.