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Finding the Fourth Proportional to 3,466.74, 4,782 and 2,583.42

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Solution

The fourth proportional to 3,466.74, 4,782 and 2,583.42 is: 3,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.74 : 4,782 = 2,583.42 : x
  2. Step 2: Convert to fraction form
    3,466.74/4,782 = 2,583.42/x
  3. Step 3: Cross multiply
    3,466.74x = 4,782 × 2,583.42
  4. Step 4: Simplify right side
    3,466.74x = 12,353,914.44
  5. Step 5: Solve for x
    x = 12,353,914.44/3,466.74
  6. Step 6: Final answer
    x = 3,563.55

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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.