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Finding the Fourth Proportional to 5,478.75, 8,218.94 and 2,555.46

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Solution

The fourth proportional to 5,478.75, 8,218.94 and 2,555.46 is: 3,833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.75 : 8,218.94 = 2,555.46 : x
  2. Step 2: Convert to fraction form
    5,478.75/8,218.94 = 2,555.46/x
  3. Step 3: Cross multiply
    5,478.75x = 8,218.94 × 2,555.46
  4. Step 4: Simplify right side
    5,478.75x = 21,003,159.64
  5. Step 5: Solve for x
    x = 21,003,159.64/5,478.75
  6. Step 6: Final answer
    x = 3,833.57

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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.