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Finding the Fourth Proportional to 5,809.44, 8,015.76 and 4,238.40

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Solution

The fourth proportional to 5,809.44, 8,015.76 and 4,238.40 is: 5,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.44 : 8,015.76 = 4,238.40 : x
  2. Step 2: Convert to fraction form
    5,809.44/8,015.76 = 4,238.40/x
  3. Step 3: Cross multiply
    5,809.44x = 8,015.76 × 4,238.40
  4. Step 4: Simplify right side
    5,809.44x = 33,973,997.18
  5. Step 5: Solve for x
    x = 33,973,997.18/5,809.44
  6. Step 6: Final answer
    x = 5,848.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.