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Finding the Fourth Proportional to 3,219.32, 4,800.15 and 3,161

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Solution

The fourth proportional to 3,219.32, 4,800.15 and 3,161 is: 4,713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.32 : 4,800.15 = 3,161 : x
  2. Step 2: Convert to fraction form
    3,219.32/4,800.15 = 3,161/x
  3. Step 3: Cross multiply
    3,219.32x = 4,800.15 × 3,161
  4. Step 4: Simplify right side
    3,219.32x = 15,173,258.35
  5. Step 5: Solve for x
    x = 15,173,258.35/3,219.32
  6. Step 6: Final answer
    x = 4,713.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.