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Finding the Fourth Proportional to 3,508, 4,825.60 and 3,365.92

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Solution

The fourth proportional to 3,508, 4,825.60 and 3,365.92 is: 4,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508 : 4,825.60 = 3,365.92 : x
  2. Step 2: Convert to fraction form
    3,508/4,825.60 = 3,365.92/x
  3. Step 3: Cross multiply
    3,508x = 4,825.60 × 3,365.92
  4. Step 4: Simplify right side
    3,508x = 16,242,583.55
  5. Step 5: Solve for x
    x = 16,242,583.55/3,508
  6. Step 6: Final answer
    x = 4,630.15

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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.