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Finding the Fourth Proportional to 5,855.17, 8,782.77 and 2,392.42

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Solution

The fourth proportional to 5,855.17, 8,782.77 and 2,392.42 is: 3,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.17 : 8,782.77 = 2,392.42 : x
  2. Step 2: Convert to fraction form
    5,855.17/8,782.77 = 2,392.42/x
  3. Step 3: Cross multiply
    5,855.17x = 8,782.77 × 2,392.42
  4. Step 4: Simplify right side
    5,855.17x = 21,012,074.60
  5. Step 5: Solve for x
    x = 21,012,074.60/5,855.17
  6. Step 6: Final answer
    x = 3,588.64

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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.