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Finding the Fourth Proportional to 4,581.83, 6,323.24 and 2,592.38

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Solution

The fourth proportional to 4,581.83, 6,323.24 and 2,592.38 is: 3,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581.83 : 6,323.24 = 2,592.38 : x
  2. Step 2: Convert to fraction form
    4,581.83/6,323.24 = 2,592.38/x
  3. Step 3: Cross multiply
    4,581.83x = 6,323.24 × 2,592.38
  4. Step 4: Simplify right side
    4,581.83x = 16,392,240.91
  5. Step 5: Solve for x
    x = 16,392,240.91/4,581.83
  6. Step 6: Final answer
    x = 3,577.66

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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.