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Finding the Fourth Proportional to 5,647.84, 8,474.73 and 4,014.88

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Solution

The fourth proportional to 5,647.84, 8,474.73 and 4,014.88 is: 6,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.84 : 8,474.73 = 4,014.88 : x
  2. Step 2: Convert to fraction form
    5,647.84/8,474.73 = 4,014.88/x
  3. Step 3: Cross multiply
    5,647.84x = 8,474.73 × 4,014.88
  4. Step 4: Simplify right side
    5,647.84x = 34,025,023.98
  5. Step 5: Solve for x
    x = 34,025,023.98/5,647.84
  6. Step 6: Final answer
    x = 6,024.43

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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.