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Finding the Fourth Proportional to 3,764.41, 5,643.90 and 1,424.23

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Solution

The fourth proportional to 3,764.41, 5,643.90 and 1,424.23 is: 2,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.41 : 5,643.90 = 1,424.23 : x
  2. Step 2: Convert to fraction form
    3,764.41/5,643.90 = 1,424.23/x
  3. Step 3: Cross multiply
    3,764.41x = 5,643.90 × 1,424.23
  4. Step 4: Simplify right side
    3,764.41x = 8,038,211.70
  5. Step 5: Solve for x
    x = 8,038,211.70/3,764.41
  6. Step 6: Final answer
    x = 2,135.32

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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.