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Finding the Fourth Proportional to 4,891.84, 7,338.76 and 1,604.68

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Solution

The fourth proportional to 4,891.84, 7,338.76 and 1,604.68 is: 2,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.84 : 7,338.76 = 1,604.68 : x
  2. Step 2: Convert to fraction form
    4,891.84/7,338.76 = 1,604.68/x
  3. Step 3: Cross multiply
    4,891.84x = 7,338.76 × 1,604.68
  4. Step 4: Simplify right side
    4,891.84x = 11,776,339.04
  5. Step 5: Solve for x
    x = 11,776,339.04/4,891.84
  6. Step 6: Final answer
    x = 2,407.34

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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.