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Finding the Fourth Proportional to 3,841.35, 5,300.17 and 3,000.57

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Solution

The fourth proportional to 3,841.35, 5,300.17 and 3,000.57 is: 4,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.35 : 5,300.17 = 3,000.57 : x
  2. Step 2: Convert to fraction form
    3,841.35/5,300.17 = 3,000.57/x
  3. Step 3: Cross multiply
    3,841.35x = 5,300.17 × 3,000.57
  4. Step 4: Simplify right side
    3,841.35x = 15,903,516.09
  5. Step 5: Solve for x
    x = 15,903,516.09/3,841.35
  6. Step 6: Final answer
    x = 4,140.09

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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.