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Finding the Fourth Proportional to 3,673, 5,511.93 and 1,364.50

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Solution

The fourth proportional to 3,673, 5,511.93 and 1,364.50 is: 2,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673 : 5,511.93 = 1,364.50 : x
  2. Step 2: Convert to fraction form
    3,673/5,511.93 = 1,364.50/x
  3. Step 3: Cross multiply
    3,673x = 5,511.93 × 1,364.50
  4. Step 4: Simplify right side
    3,673x = 7,521,028.49
  5. Step 5: Solve for x
    x = 7,521,028.49/3,673
  6. Step 6: Final answer
    x = 2,047.65

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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.