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Finding the Fourth Proportional to 5,311.80, 7,967.70 and 1,416.60

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Solution

The fourth proportional to 5,311.80, 7,967.70 and 1,416.60 is: 2,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.80 : 7,967.70 = 1,416.60 : x
  2. Step 2: Convert to fraction form
    5,311.80/7,967.70 = 1,416.60/x
  3. Step 3: Cross multiply
    5,311.80x = 7,967.70 × 1,416.60
  4. Step 4: Simplify right side
    5,311.80x = 11,287,043.82
  5. Step 5: Solve for x
    x = 11,287,043.82/5,311.80
  6. Step 6: Final answer
    x = 2,124.90

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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.