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Finding the Fourth Proportional to 4,590.34, 6,334.68 and 2,494.48

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Solution

The fourth proportional to 4,590.34, 6,334.68 and 2,494.48 is: 3,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.34 : 6,334.68 = 2,494.48 : x
  2. Step 2: Convert to fraction form
    4,590.34/6,334.68 = 2,494.48/x
  3. Step 3: Cross multiply
    4,590.34x = 6,334.68 × 2,494.48
  4. Step 4: Simplify right side
    4,590.34x = 15,801,732.57
  5. Step 5: Solve for x
    x = 15,801,732.57/4,590.34
  6. Step 6: Final answer
    x = 3,442.39

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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.