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Finding the Fourth Proportional to 4,891.39, 7,337.70 and 1,604.82

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Solution

The fourth proportional to 4,891.39, 7,337.70 and 1,604.82 is: 2,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.39 : 7,337.70 = 1,604.82 : x
  2. Step 2: Convert to fraction form
    4,891.39/7,337.70 = 1,604.82/x
  3. Step 3: Cross multiply
    4,891.39x = 7,337.70 × 1,604.82
  4. Step 4: Simplify right side
    4,891.39x = 11,775,687.71
  5. Step 5: Solve for x
    x = 11,775,687.71/4,891.39
  6. Step 6: Final answer
    x = 2,407.43

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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.