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Finding the Fourth Proportional to 4,594.59, 6,337.91 and 2,824.94

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Solution

The fourth proportional to 4,594.59, 6,337.91 and 2,824.94 is: 3,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.59 : 6,337.91 = 2,824.94 : x
  2. Step 2: Convert to fraction form
    4,594.59/6,337.91 = 2,824.94/x
  3. Step 3: Cross multiply
    4,594.59x = 6,337.91 × 2,824.94
  4. Step 4: Simplify right side
    4,594.59x = 17,904,238.38
  5. Step 5: Solve for x
    x = 17,904,238.38/4,594.59
  6. Step 6: Final answer
    x = 3,896.81

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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.