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Finding the Fourth Proportional to 4,776.75, 7,166.15 and 1,855.05

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Solution

The fourth proportional to 4,776.75, 7,166.15 and 1,855.05 is: 2,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.75 : 7,166.15 = 1,855.05 : x
  2. Step 2: Convert to fraction form
    4,776.75/7,166.15 = 1,855.05/x
  3. Step 3: Cross multiply
    4,776.75x = 7,166.15 × 1,855.05
  4. Step 4: Simplify right side
    4,776.75x = 13,293,557.28
  5. Step 5: Solve for x
    x = 13,293,557.28/4,776.75
  6. Step 6: Final answer
    x = 2,782.97

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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.