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Finding the Fourth Proportional to 4,594.66, 6,340.38 and 2,825.62

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Solution

The fourth proportional to 4,594.66, 6,340.38 and 2,825.62 is: 3,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.66 : 6,340.38 = 2,825.62 : x
  2. Step 2: Convert to fraction form
    4,594.66/6,340.38 = 2,825.62/x
  3. Step 3: Cross multiply
    4,594.66x = 6,340.38 × 2,825.62
  4. Step 4: Simplify right side
    4,594.66x = 17,915,504.54
  5. Step 5: Solve for x
    x = 17,915,504.54/4,594.66
  6. Step 6: Final answer
    x = 3,899.20

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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.