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Finding the Fourth Proportional to 3,511.76, 4,846.57 and 2,019.74

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Solution

The fourth proportional to 3,511.76, 4,846.57 and 2,019.74 is: 2,787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.76 : 4,846.57 = 2,019.74 : x
  2. Step 2: Convert to fraction form
    3,511.76/4,846.57 = 2,019.74/x
  3. Step 3: Cross multiply
    3,511.76x = 4,846.57 × 2,019.74
  4. Step 4: Simplify right side
    3,511.76x = 9,788,782.01
  5. Step 5: Solve for x
    x = 9,788,782.01/3,511.76
  6. Step 6: Final answer
    x = 2,787.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.