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Finding the Fourth Proportional to 3,841.46, 5,302.70 and 3,002.43

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Solution

The fourth proportional to 3,841.46, 5,302.70 and 3,002.43 is: 4,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.46 : 5,302.70 = 3,002.43 : x
  2. Step 2: Convert to fraction form
    3,841.46/5,302.70 = 3,002.43/x
  3. Step 3: Cross multiply
    3,841.46x = 5,302.70 × 3,002.43
  4. Step 4: Simplify right side
    3,841.46x = 15,920,999.27
  5. Step 5: Solve for x
    x = 15,920,999.27/3,841.46
  6. Step 6: Final answer
    x = 4,144.52

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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.