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Finding the Fourth Proportional to 5,326.96, 7,990.99 and 2,042.80

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Solution

The fourth proportional to 5,326.96, 7,990.99 and 2,042.80 is: 3,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.96 : 7,990.99 = 2,042.80 : x
  2. Step 2: Convert to fraction form
    5,326.96/7,990.99 = 2,042.80/x
  3. Step 3: Cross multiply
    5,326.96x = 7,990.99 × 2,042.80
  4. Step 4: Simplify right side
    5,326.96x = 16,323,994.37
  5. Step 5: Solve for x
    x = 16,323,994.37/5,326.96
  6. Step 6: Final answer
    x = 3,064.41

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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.