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Finding the Fourth Proportional to 5,901.96, 8,852.94 and 1,519.42

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Solution

The fourth proportional to 5,901.96, 8,852.94 and 1,519.42 is: 2,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.96 : 8,852.94 = 1,519.42 : x
  2. Step 2: Convert to fraction form
    5,901.96/8,852.94 = 1,519.42/x
  3. Step 3: Cross multiply
    5,901.96x = 8,852.94 × 1,519.42
  4. Step 4: Simplify right side
    5,901.96x = 13,451,334.09
  5. Step 5: Solve for x
    x = 13,451,334.09/5,901.96
  6. Step 6: Final answer
    x = 2,279.13

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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.