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Finding the Fourth Proportional to 4,892.49, 7,338.71 and 1,194.74

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Solution

The fourth proportional to 4,892.49, 7,338.71 and 1,194.74 is: 1,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.49 : 7,338.71 = 1,194.74 : x
  2. Step 2: Convert to fraction form
    4,892.49/7,338.71 = 1,194.74/x
  3. Step 3: Cross multiply
    4,892.49x = 7,338.71 × 1,194.74
  4. Step 4: Simplify right side
    4,892.49x = 8,767,850.39
  5. Step 5: Solve for x
    x = 8,767,850.39/4,892.49
  6. Step 6: Final answer
    x = 1,792.10

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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.