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Finding the Fourth Proportional to 4,821.76, 7,226.72 and 2,743.50

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Solution

The fourth proportional to 4,821.76, 7,226.72 and 2,743.50 is: 4,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.76 : 7,226.72 = 2,743.50 : x
  2. Step 2: Convert to fraction form
    4,821.76/7,226.72 = 2,743.50/x
  3. Step 3: Cross multiply
    4,821.76x = 7,226.72 × 2,743.50
  4. Step 4: Simplify right side
    4,821.76x = 19,826,506.32
  5. Step 5: Solve for x
    x = 19,826,506.32/4,821.76
  6. Step 6: Final answer
    x = 4,111.88

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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.