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Finding the Fourth Proportional to 5,484.80, 8,227.26 and 1,787

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Solution

The fourth proportional to 5,484.80, 8,227.26 and 1,787 is: 2,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.80 : 8,227.26 = 1,787 : x
  2. Step 2: Convert to fraction form
    5,484.80/8,227.26 = 1,787/x
  3. Step 3: Cross multiply
    5,484.80x = 8,227.26 × 1,787
  4. Step 4: Simplify right side
    5,484.80x = 14,702,113.62
  5. Step 5: Solve for x
    x = 14,702,113.62/5,484.80
  6. Step 6: Final answer
    x = 2,680.52

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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.