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Finding the Fourth Proportional to 5,381.60, 8,069.70 and 2,456.60

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Solution

The fourth proportional to 5,381.60, 8,069.70 and 2,456.60 is: 3,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.60 : 8,069.70 = 2,456.60 : x
  2. Step 2: Convert to fraction form
    5,381.60/8,069.70 = 2,456.60/x
  3. Step 3: Cross multiply
    5,381.60x = 8,069.70 × 2,456.60
  4. Step 4: Simplify right side
    5,381.60x = 19,824,025.02
  5. Step 5: Solve for x
    x = 19,824,025.02/5,381.60
  6. Step 6: Final answer
    x = 3,683.67

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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.