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Finding the Fourth Proportional to 3,467.92, 4,783.72 and 2,362

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Solution

The fourth proportional to 3,467.92, 4,783.72 and 2,362 is: 3,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.92 : 4,783.72 = 2,362 : x
  2. Step 2: Convert to fraction form
    3,467.92/4,783.72 = 2,362/x
  3. Step 3: Cross multiply
    3,467.92x = 4,783.72 × 2,362
  4. Step 4: Simplify right side
    3,467.92x = 11,299,146.64
  5. Step 5: Solve for x
    x = 11,299,146.64/3,467.92
  6. Step 6: Final answer
    x = 3,258.19

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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.