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Finding the Fourth Proportional to 4,089.96, 6,137.70 and 1,493.16

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Solution

The fourth proportional to 4,089.96, 6,137.70 and 1,493.16 is: 2,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.96 : 6,137.70 = 1,493.16 : x
  2. Step 2: Convert to fraction form
    4,089.96/6,137.70 = 1,493.16/x
  3. Step 3: Cross multiply
    4,089.96x = 6,137.70 × 1,493.16
  4. Step 4: Simplify right side
    4,089.96x = 9,164,568.13
  5. Step 5: Solve for x
    x = 9,164,568.13/4,089.96
  6. Step 6: Final answer
    x = 2,240.75

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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.