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Finding the Fourth Proportional to 3,828.76, 5,728.80 and 2,263

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Solution

The fourth proportional to 3,828.76, 5,728.80 and 2,263 is: 3,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.76 : 5,728.80 = 2,263 : x
  2. Step 2: Convert to fraction form
    3,828.76/5,728.80 = 2,263/x
  3. Step 3: Cross multiply
    3,828.76x = 5,728.80 × 2,263
  4. Step 4: Simplify right side
    3,828.76x = 12,964,274.40
  5. Step 5: Solve for x
    x = 12,964,274.40/3,828.76
  6. Step 6: Final answer
    x = 3,386.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.