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Finding the Fourth Proportional to 5,618.95, 8,412.10 and 3,271.80

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Solution

The fourth proportional to 5,618.95, 8,412.10 and 3,271.80 is: 4,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.95 : 8,412.10 = 3,271.80 : x
  2. Step 2: Convert to fraction form
    5,618.95/8,412.10 = 3,271.80/x
  3. Step 3: Cross multiply
    5,618.95x = 8,412.10 × 3,271.80
  4. Step 4: Simplify right side
    5,618.95x = 27,522,708.78
  5. Step 5: Solve for x
    x = 27,522,708.78/5,618.95
  6. Step 6: Final answer
    x = 4,898.19

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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.