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Finding the Fourth Proportional to 5,647.70, 8,473.98 and 2,728.19

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Solution

The fourth proportional to 5,647.70, 8,473.98 and 2,728.19 is: 4,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.70 : 8,473.98 = 2,728.19 : x
  2. Step 2: Convert to fraction form
    5,647.70/8,473.98 = 2,728.19/x
  3. Step 3: Cross multiply
    5,647.70x = 8,473.98 × 2,728.19
  4. Step 4: Simplify right side
    5,647.70x = 23,118,627.50
  5. Step 5: Solve for x
    x = 23,118,627.50/5,647.70
  6. Step 6: Final answer
    x = 4,093.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.