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Finding the Fourth Proportional to 4,892.12, 7,335.44 and 1,604.94

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Solution

The fourth proportional to 4,892.12, 7,335.44 and 1,604.94 is: 2,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.12 : 7,335.44 = 1,604.94 : x
  2. Step 2: Convert to fraction form
    4,892.12/7,335.44 = 1,604.94/x
  3. Step 3: Cross multiply
    4,892.12x = 7,335.44 × 1,604.94
  4. Step 4: Simplify right side
    4,892.12x = 11,772,941.07
  5. Step 5: Solve for x
    x = 11,772,941.07/4,892.12
  6. Step 6: Final answer
    x = 2,406.51

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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.