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Finding the Fourth Proportional to 4,363.33, 6,545 and 1,441.86

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Solution

The fourth proportional to 4,363.33, 6,545 and 1,441.86 is: 2,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.33 : 6,545 = 1,441.86 : x
  2. Step 2: Convert to fraction form
    4,363.33/6,545 = 1,441.86/x
  3. Step 3: Cross multiply
    4,363.33x = 6,545 × 1,441.86
  4. Step 4: Simplify right side
    4,363.33x = 9,436,973.70
  5. Step 5: Solve for x
    x = 9,436,973.70/4,363.33
  6. Step 6: Final answer
    x = 2,162.79

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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.