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Finding the Fourth Proportional to 3,835.55, 5,290.38 and 3,706.97

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Solution

The fourth proportional to 3,835.55, 5,290.38 and 3,706.97 is: 5,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.55 : 5,290.38 = 3,706.97 : x
  2. Step 2: Convert to fraction form
    3,835.55/5,290.38 = 3,706.97/x
  3. Step 3: Cross multiply
    3,835.55x = 5,290.38 × 3,706.97
  4. Step 4: Simplify right side
    3,835.55x = 19,611,253.50
  5. Step 5: Solve for x
    x = 19,611,253.50/3,835.55
  6. Step 6: Final answer
    x = 5,113.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.