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Finding the Fourth Proportional to 3,891.35, 5,833.51 and 1,424.45

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Solution

The fourth proportional to 3,891.35, 5,833.51 and 1,424.45 is: 2,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.35 : 5,833.51 = 1,424.45 : x
  2. Step 2: Convert to fraction form
    3,891.35/5,833.51 = 1,424.45/x
  3. Step 3: Cross multiply
    3,891.35x = 5,833.51 × 1,424.45
  4. Step 4: Simplify right side
    3,891.35x = 8,309,543.32
  5. Step 5: Solve for x
    x = 8,309,543.32/3,891.35
  6. Step 6: Final answer
    x = 2,135.39

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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.