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Finding the Fourth Proportional to 3,819.54, 5,271.24 and 2,638.56

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Solution

The fourth proportional to 3,819.54, 5,271.24 and 2,638.56 is: 3,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.54 : 5,271.24 = 2,638.56 : x
  2. Step 2: Convert to fraction form
    3,819.54/5,271.24 = 2,638.56/x
  3. Step 3: Cross multiply
    3,819.54x = 5,271.24 × 2,638.56
  4. Step 4: Simplify right side
    3,819.54x = 13,908,483.01
  5. Step 5: Solve for x
    x = 13,908,483.01/3,819.54
  6. Step 6: Final answer
    x = 3,641.40

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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.