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Finding the Fourth Proportional to 4,761.60, 7,138.52 and 1,990.33

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Solution

The fourth proportional to 4,761.60, 7,138.52 and 1,990.33 is: 2,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.60 : 7,138.52 = 1,990.33 : x
  2. Step 2: Convert to fraction form
    4,761.60/7,138.52 = 1,990.33/x
  3. Step 3: Cross multiply
    4,761.60x = 7,138.52 × 1,990.33
  4. Step 4: Simplify right side
    4,761.60x = 14,208,010.51
  5. Step 5: Solve for x
    x = 14,208,010.51/4,761.60
  6. Step 6: Final answer
    x = 2,983.87

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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.