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Finding the Fourth Proportional to 4,096.74, 6,149.43 and 1,907.58

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Solution

The fourth proportional to 4,096.74, 6,149.43 and 1,907.58 is: 2,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.74 : 6,149.43 = 1,907.58 : x
  2. Step 2: Convert to fraction form
    4,096.74/6,149.43 = 1,907.58/x
  3. Step 3: Cross multiply
    4,096.74x = 6,149.43 × 1,907.58
  4. Step 4: Simplify right side
    4,096.74x = 11,730,529.68
  5. Step 5: Solve for x
    x = 11,730,529.68/4,096.74
  6. Step 6: Final answer
    x = 2,863.38

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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.