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Finding the Fourth Proportional to 5,477.70, 8,200.35 and 3,290.70

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Solution

The fourth proportional to 5,477.70, 8,200.35 and 3,290.70 is: 4,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.70 : 8,200.35 = 3,290.70 : x
  2. Step 2: Convert to fraction form
    5,477.70/8,200.35 = 3,290.70/x
  3. Step 3: Cross multiply
    5,477.70x = 8,200.35 × 3,290.70
  4. Step 4: Simplify right side
    5,477.70x = 26,984,891.75
  5. Step 5: Solve for x
    x = 26,984,891.75/5,477.70
  6. Step 6: Final answer
    x = 4,926.32

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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.