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Finding the Fourth Proportional to 4,592.90, 6,339.04 and 2,825.38

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Solution

The fourth proportional to 4,592.90, 6,339.04 and 2,825.38 is: 3,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.90 : 6,339.04 = 2,825.38 : x
  2. Step 2: Convert to fraction form
    4,592.90/6,339.04 = 2,825.38/x
  3. Step 3: Cross multiply
    4,592.90x = 6,339.04 × 2,825.38
  4. Step 4: Simplify right side
    4,592.90x = 17,910,165.14
  5. Step 5: Solve for x
    x = 17,910,165.14/4,592.90
  6. Step 6: Final answer
    x = 3,899.54

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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.