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Finding the Fourth Proportional to 3,467.31, 4,783.51 and 2,138.70

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Solution

The fourth proportional to 3,467.31, 4,783.51 and 2,138.70 is: 2,950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.31 : 4,783.51 = 2,138.70 : x
  2. Step 2: Convert to fraction form
    3,467.31/4,783.51 = 2,138.70/x
  3. Step 3: Cross multiply
    3,467.31x = 4,783.51 × 2,138.70
  4. Step 4: Simplify right side
    3,467.31x = 10,230,492.84
  5. Step 5: Solve for x
    x = 10,230,492.84/3,467.31
  6. Step 6: Final answer
    x = 2,950.56

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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.