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Finding the Fourth Proportional to 5,410.95, 7,467.08 and 3,020.78

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Solution

The fourth proportional to 5,410.95, 7,467.08 and 3,020.78 is: 4,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.95 : 7,467.08 = 3,020.78 : x
  2. Step 2: Convert to fraction form
    5,410.95/7,467.08 = 3,020.78/x
  3. Step 3: Cross multiply
    5,410.95x = 7,467.08 × 3,020.78
  4. Step 4: Simplify right side
    5,410.95x = 22,556,432.14
  5. Step 5: Solve for x
    x = 22,556,432.14/5,410.95
  6. Step 6: Final answer
    x = 4,168.66

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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.