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Finding the Fourth Proportional to 5,773.60, 7,967.46 and 3,255.67

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Solution

The fourth proportional to 5,773.60, 7,967.46 and 3,255.67 is: 4,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.60 : 7,967.46 = 3,255.67 : x
  2. Step 2: Convert to fraction form
    5,773.60/7,967.46 = 3,255.67/x
  3. Step 3: Cross multiply
    5,773.60x = 7,967.46 × 3,255.67
  4. Step 4: Simplify right side
    5,773.60x = 25,939,420.50
  5. Step 5: Solve for x
    x = 25,939,420.50/5,773.60
  6. Step 6: Final answer
    x = 4,492.76

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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.