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Finding the Fourth Proportional to 5,504.57, 8,257.40 and 1,806.81

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Solution

The fourth proportional to 5,504.57, 8,257.40 and 1,806.81 is: 2,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.57 : 8,257.40 = 1,806.81 : x
  2. Step 2: Convert to fraction form
    5,504.57/8,257.40 = 1,806.81/x
  3. Step 3: Cross multiply
    5,504.57x = 8,257.40 × 1,806.81
  4. Step 4: Simplify right side
    5,504.57x = 14,919,543.86
  5. Step 5: Solve for x
    x = 14,919,543.86/5,504.57
  6. Step 6: Final answer
    x = 2,710.39

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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.