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Finding the Fourth Proportional to 4,262.30, 5,883.08 and 3,819.44

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Solution

The fourth proportional to 4,262.30, 5,883.08 and 3,819.44 is: 5,271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.30 : 5,883.08 = 3,819.44 : x
  2. Step 2: Convert to fraction form
    4,262.30/5,883.08 = 3,819.44/x
  3. Step 3: Cross multiply
    4,262.30x = 5,883.08 × 3,819.44
  4. Step 4: Simplify right side
    4,262.30x = 22,470,071.08
  5. Step 5: Solve for x
    x = 22,470,071.08/4,262.30
  6. Step 6: Final answer
    x = 5,271.82

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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.