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Finding the Fourth Proportional to 5,977.44, 8,245.80 and 3,492

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Solution

The fourth proportional to 5,977.44, 8,245.80 and 3,492 is: 4,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.44 : 8,245.80 = 3,492 : x
  2. Step 2: Convert to fraction form
    5,977.44/8,245.80 = 3,492/x
  3. Step 3: Cross multiply
    5,977.44x = 8,245.80 × 3,492
  4. Step 4: Simplify right side
    5,977.44x = 28,794,333.60
  5. Step 5: Solve for x
    x = 28,794,333.60/5,977.44
  6. Step 6: Final answer
    x = 4,817.17

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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.