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Finding the Fourth Proportional to 5,311.52, 7,967.28 and 1,613.78

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Solution

The fourth proportional to 5,311.52, 7,967.28 and 1,613.78 is: 2,420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.52 : 7,967.28 = 1,613.78 : x
  2. Step 2: Convert to fraction form
    5,311.52/7,967.28 = 1,613.78/x
  3. Step 3: Cross multiply
    5,311.52x = 7,967.28 × 1,613.78
  4. Step 4: Simplify right side
    5,311.52x = 12,857,437.12
  5. Step 5: Solve for x
    x = 12,857,437.12/5,311.52
  6. Step 6: Final answer
    x = 2,420.67

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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.