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Finding the Fourth Proportional to 5,226.35, 7,840.24 and 1,939.16

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Solution

The fourth proportional to 5,226.35, 7,840.24 and 1,939.16 is: 2,909.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.35 : 7,840.24 = 1,939.16 : x
  2. Step 2: Convert to fraction form
    5,226.35/7,840.24 = 1,939.16/x
  3. Step 3: Cross multiply
    5,226.35x = 7,840.24 × 1,939.16
  4. Step 4: Simplify right side
    5,226.35x = 15,203,494.55
  5. Step 5: Solve for x
    x = 15,203,494.55/5,226.35
  6. Step 6: Final answer
    x = 2,909.01

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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.