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Finding the Fourth Proportional to 5,805.36, 8,706.72 and 1,644.42

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Solution

The fourth proportional to 5,805.36, 8,706.72 and 1,644.42 is: 2,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.36 : 8,706.72 = 1,644.42 : x
  2. Step 2: Convert to fraction form
    5,805.36/8,706.72 = 1,644.42/x
  3. Step 3: Cross multiply
    5,805.36x = 8,706.72 × 1,644.42
  4. Step 4: Simplify right side
    5,805.36x = 14,317,504.50
  5. Step 5: Solve for x
    x = 14,317,504.50/5,805.36
  6. Step 6: Final answer
    x = 2,466.26

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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.