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Finding the Fourth Proportional to 4,892.59, 7,338.79 and 1,194.72

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Solution

The fourth proportional to 4,892.59, 7,338.79 and 1,194.72 is: 1,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.59 : 7,338.79 = 1,194.72 : x
  2. Step 2: Convert to fraction form
    4,892.59/7,338.79 = 1,194.72/x
  3. Step 3: Cross multiply
    4,892.59x = 7,338.79 × 1,194.72
  4. Step 4: Simplify right side
    4,892.59x = 8,767,799.19
  5. Step 5: Solve for x
    x = 8,767,799.19/4,892.59
  6. Step 6: Final answer
    x = 1,792.06

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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.