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Finding the Fourth Proportional to 4,594.36, 6,340 and 2,498.44

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Solution

The fourth proportional to 4,594.36, 6,340 and 2,498.44 is: 3,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.36 : 6,340 = 2,498.44 : x
  2. Step 2: Convert to fraction form
    4,594.36/6,340 = 2,498.44/x
  3. Step 3: Cross multiply
    4,594.36x = 6,340 × 2,498.44
  4. Step 4: Simplify right side
    4,594.36x = 15,840,109.60
  5. Step 5: Solve for x
    x = 15,840,109.60/4,594.36
  6. Step 6: Final answer
    x = 3,447.73

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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.