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Finding the Fourth Proportional to 5,805.74, 8,011.98 and 3,153.20

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Solution

The fourth proportional to 5,805.74, 8,011.98 and 3,153.20 is: 4,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.74 : 8,011.98 = 3,153.20 : x
  2. Step 2: Convert to fraction form
    5,805.74/8,011.98 = 3,153.20/x
  3. Step 3: Cross multiply
    5,805.74x = 8,011.98 × 3,153.20
  4. Step 4: Simplify right side
    5,805.74x = 25,263,375.34
  5. Step 5: Solve for x
    x = 25,263,375.34/5,805.74
  6. Step 6: Final answer
    x = 4,351.45

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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.