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Finding the Fourth Proportional to 5,805.19, 8,011.46 and 3,415.28

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Solution

The fourth proportional to 5,805.19, 8,011.46 and 3,415.28 is: 4,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.19 : 8,011.46 = 3,415.28 : x
  2. Step 2: Convert to fraction form
    5,805.19/8,011.46 = 3,415.28/x
  3. Step 3: Cross multiply
    5,805.19x = 8,011.46 × 3,415.28
  4. Step 4: Simplify right side
    5,805.19x = 27,361,407.68
  5. Step 5: Solve for x
    x = 27,361,407.68/5,805.19
  6. Step 6: Final answer
    x = 4,713.27

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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.