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Finding the Fourth Proportional to 3,468.96, 4,782.96 and 2,629.44

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Solution

The fourth proportional to 3,468.96, 4,782.96 and 2,629.44 is: 3,625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.96 : 4,782.96 = 2,629.44 : x
  2. Step 2: Convert to fraction form
    3,468.96/4,782.96 = 2,629.44/x
  3. Step 3: Cross multiply
    3,468.96x = 4,782.96 × 2,629.44
  4. Step 4: Simplify right side
    3,468.96x = 12,576,506.34
  5. Step 5: Solve for x
    x = 12,576,506.34/3,468.96
  6. Step 6: Final answer
    x = 3,625.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.