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Finding the Fourth Proportional to 3,093.21, 4,639.82 and 901.96

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Solution

The fourth proportional to 3,093.21, 4,639.82 and 901.96 is: 1,352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.21 : 4,639.82 = 901.96 : x
  2. Step 2: Convert to fraction form
    3,093.21/4,639.82 = 901.96/x
  3. Step 3: Cross multiply
    3,093.21x = 4,639.82 × 901.96
  4. Step 4: Simplify right side
    3,093.21x = 4,184,915.94
  5. Step 5: Solve for x
    x = 4,184,915.94/3,093.21
  6. Step 6: Final answer
    x = 1,352.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.