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Finding the Fourth Proportional to 5,344.84, 8,017.31 and 1,647.10

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Solution

The fourth proportional to 5,344.84, 8,017.31 and 1,647.10 is: 2,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.84 : 8,017.31 = 1,647.10 : x
  2. Step 2: Convert to fraction form
    5,344.84/8,017.31 = 1,647.10/x
  3. Step 3: Cross multiply
    5,344.84x = 8,017.31 × 1,647.10
  4. Step 4: Simplify right side
    5,344.84x = 13,205,311.30
  5. Step 5: Solve for x
    x = 13,205,311.30/5,344.84
  6. Step 6: Final answer
    x = 2,470.67

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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.