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Finding the Fourth Proportional to 4,091.04, 6,137.64 and 1,494

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Solution

The fourth proportional to 4,091.04, 6,137.64 and 1,494 is: 2,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.04 : 6,137.64 = 1,494 : x
  2. Step 2: Convert to fraction form
    4,091.04/6,137.64 = 1,494/x
  3. Step 3: Cross multiply
    4,091.04x = 6,137.64 × 1,494
  4. Step 4: Simplify right side
    4,091.04x = 9,169,634.16
  5. Step 5: Solve for x
    x = 9,169,634.16/4,091.04
  6. Step 6: Final answer
    x = 2,241.39

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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.