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Finding the Fourth Proportional to 4,891.31, 7,336.71 and 1,603.97

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Solution

The fourth proportional to 4,891.31, 7,336.71 and 1,603.97 is: 2,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.31 : 7,336.71 = 1,603.97 : x
  2. Step 2: Convert to fraction form
    4,891.31/7,336.71 = 1,603.97/x
  3. Step 3: Cross multiply
    4,891.31x = 7,336.71 × 1,603.97
  4. Step 4: Simplify right side
    4,891.31x = 11,767,862.74
  5. Step 5: Solve for x
    x = 11,767,862.74/4,891.31
  6. Step 6: Final answer
    x = 2,405.87

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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.