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Finding the Fourth Proportional to 3,738.81, 5,161.43 and 2,897.63

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Solution

The fourth proportional to 3,738.81, 5,161.43 and 2,897.63 is: 4,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.81 : 5,161.43 = 2,897.63 : x
  2. Step 2: Convert to fraction form
    3,738.81/5,161.43 = 2,897.63/x
  3. Step 3: Cross multiply
    3,738.81x = 5,161.43 × 2,897.63
  4. Step 4: Simplify right side
    3,738.81x = 14,955,914.41
  5. Step 5: Solve for x
    x = 14,955,914.41/3,738.81
  6. Step 6: Final answer
    x = 4,000.18

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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.