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Finding the Fourth Proportional to 4,892.25, 7,336.84 and 1,604.58

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Solution

The fourth proportional to 4,892.25, 7,336.84 and 1,604.58 is: 2,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.25 : 7,336.84 = 1,604.58 : x
  2. Step 2: Convert to fraction form
    4,892.25/7,336.84 = 1,604.58/x
  3. Step 3: Cross multiply
    4,892.25x = 7,336.84 × 1,604.58
  4. Step 4: Simplify right side
    4,892.25x = 11,772,538.70
  5. Step 5: Solve for x
    x = 11,772,538.70/4,892.25
  6. Step 6: Final answer
    x = 2,406.36

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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.