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Finding the Fourth Proportional to 4,921.87, 7,382.67 and 1,801.84

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Solution

The fourth proportional to 4,921.87, 7,382.67 and 1,801.84 is: 2,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.87 : 7,382.67 = 1,801.84 : x
  2. Step 2: Convert to fraction form
    4,921.87/7,382.67 = 1,801.84/x
  3. Step 3: Cross multiply
    4,921.87x = 7,382.67 × 1,801.84
  4. Step 4: Simplify right side
    4,921.87x = 13,302,390.11
  5. Step 5: Solve for x
    x = 13,302,390.11/4,921.87
  6. Step 6: Final answer
    x = 2,702.71

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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.