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Finding the Fourth Proportional to 5,855.16, 8,782.74 and 2,776.44

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Solution

The fourth proportional to 5,855.16, 8,782.74 and 2,776.44 is: 4,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.16 : 8,782.74 = 2,776.44 : x
  2. Step 2: Convert to fraction form
    5,855.16/8,782.74 = 2,776.44/x
  3. Step 3: Cross multiply
    5,855.16x = 8,782.74 × 2,776.44
  4. Step 4: Simplify right side
    5,855.16x = 24,384,750.65
  5. Step 5: Solve for x
    x = 24,384,750.65/5,855.16
  6. Step 6: Final answer
    x = 4,164.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.