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Finding the Fourth Proportional to 5,506.44, 8,261.64 and 3,316.74

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Solution

The fourth proportional to 5,506.44, 8,261.64 and 3,316.74 is: 4,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.44 : 8,261.64 = 3,316.74 : x
  2. Step 2: Convert to fraction form
    5,506.44/8,261.64 = 3,316.74/x
  3. Step 3: Cross multiply
    5,506.44x = 8,261.64 × 3,316.74
  4. Step 4: Simplify right side
    5,506.44x = 27,401,711.85
  5. Step 5: Solve for x
    x = 27,401,711.85/5,506.44
  6. Step 6: Final answer
    x = 4,976.30

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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.