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Finding the Fourth Proportional to 3,846.84, 5,308.65 and 2,274.90

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Solution

The fourth proportional to 3,846.84, 5,308.65 and 2,274.90 is: 3,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.84 : 5,308.65 = 2,274.90 : x
  2. Step 2: Convert to fraction form
    3,846.84/5,308.65 = 2,274.90/x
  3. Step 3: Cross multiply
    3,846.84x = 5,308.65 × 2,274.90
  4. Step 4: Simplify right side
    3,846.84x = 12,076,647.89
  5. Step 5: Solve for x
    x = 12,076,647.89/3,846.84
  6. Step 6: Final answer
    x = 3,139.37

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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.