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Finding the Fourth Proportional to 3,156.91, 4,735.58 and 1,076.37

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Solution

The fourth proportional to 3,156.91, 4,735.58 and 1,076.37 is: 1,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.91 : 4,735.58 = 1,076.37 : x
  2. Step 2: Convert to fraction form
    3,156.91/4,735.58 = 1,076.37/x
  3. Step 3: Cross multiply
    3,156.91x = 4,735.58 × 1,076.37
  4. Step 4: Simplify right side
    3,156.91x = 5,097,236.24
  5. Step 5: Solve for x
    x = 5,097,236.24/3,156.91
  6. Step 6: Final answer
    x = 1,614.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.