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Finding the Fourth Proportional to 3,148.86, 4,723.67 and 1,759.21

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Solution

The fourth proportional to 3,148.86, 4,723.67 and 1,759.21 is: 2,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.86 : 4,723.67 = 1,759.21 : x
  2. Step 2: Convert to fraction form
    3,148.86/4,723.67 = 1,759.21/x
  3. Step 3: Cross multiply
    3,148.86x = 4,723.67 × 1,759.21
  4. Step 4: Simplify right side
    3,148.86x = 8,309,927.50
  5. Step 5: Solve for x
    x = 8,309,927.50/3,148.86
  6. Step 6: Final answer
    x = 2,639.03

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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.