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Finding the Fourth Proportional to 3,512.92, 4,846.34 and 2,465.64

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Solution

The fourth proportional to 3,512.92, 4,846.34 and 2,465.64 is: 3,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.92 : 4,846.34 = 2,465.64 : x
  2. Step 2: Convert to fraction form
    3,512.92/4,846.34 = 2,465.64/x
  3. Step 3: Cross multiply
    3,512.92x = 4,846.34 × 2,465.64
  4. Step 4: Simplify right side
    3,512.92x = 11,949,329.76
  5. Step 5: Solve for x
    x = 11,949,329.76/3,512.92
  6. Step 6: Final answer
    x = 3,401.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.