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Finding the Fourth Proportional to 4,363.86, 6,544.86 and 1,441.47

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Solution

The fourth proportional to 4,363.86, 6,544.86 and 1,441.47 is: 2,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.86 : 6,544.86 = 1,441.47 : x
  2. Step 2: Convert to fraction form
    4,363.86/6,544.86 = 1,441.47/x
  3. Step 3: Cross multiply
    4,363.86x = 6,544.86 × 1,441.47
  4. Step 4: Simplify right side
    4,363.86x = 9,434,219.34
  5. Step 5: Solve for x
    x = 9,434,219.34/4,363.86
  6. Step 6: Final answer
    x = 2,161.90

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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.