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Finding the Fourth Proportional to 3,850.94, 5,312.59 and 2,278.13

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Solution

The fourth proportional to 3,850.94, 5,312.59 and 2,278.13 is: 3,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.94 : 5,312.59 = 2,278.13 : x
  2. Step 2: Convert to fraction form
    3,850.94/5,312.59 = 2,278.13/x
  3. Step 3: Cross multiply
    3,850.94x = 5,312.59 × 2,278.13
  4. Step 4: Simplify right side
    3,850.94x = 12,102,738.40
  5. Step 5: Solve for x
    x = 12,102,738.40/3,850.94
  6. Step 6: Final answer
    x = 3,142.80

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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.