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Finding the Fourth Proportional to 5,235.96, 7,853.91 and 1,340.37

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Solution

The fourth proportional to 5,235.96, 7,853.91 and 1,340.37 is: 2,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.96 : 7,853.91 = 1,340.37 : x
  2. Step 2: Convert to fraction form
    5,235.96/7,853.91 = 1,340.37/x
  3. Step 3: Cross multiply
    5,235.96x = 7,853.91 × 1,340.37
  4. Step 4: Simplify right side
    5,235.96x = 10,527,145.35
  5. Step 5: Solve for x
    x = 10,527,145.35/5,235.96
  6. Step 6: Final answer
    x = 2,010.55

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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.