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Finding the Fourth Proportional to 3,803.48, 5,706.04 and 2,160.80

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Solution

The fourth proportional to 3,803.48, 5,706.04 and 2,160.80 is: 3,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.48 : 5,706.04 = 2,160.80 : x
  2. Step 2: Convert to fraction form
    3,803.48/5,706.04 = 2,160.80/x
  3. Step 3: Cross multiply
    3,803.48x = 5,706.04 × 2,160.80
  4. Step 4: Simplify right side
    3,803.48x = 12,329,611.23
  5. Step 5: Solve for x
    x = 12,329,611.23/3,803.48
  6. Step 6: Final answer
    x = 3,241.67

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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.