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Finding the Fourth Proportional to 5,764.10, 8,644.79 and 2,642.16

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Solution

The fourth proportional to 5,764.10, 8,644.79 and 2,642.16 is: 3,962.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.10 : 8,644.79 = 2,642.16 : x
  2. Step 2: Convert to fraction form
    5,764.10/8,644.79 = 2,642.16/x
  3. Step 3: Cross multiply
    5,764.10x = 8,644.79 × 2,642.16
  4. Step 4: Simplify right side
    5,764.10x = 22,840,905.14
  5. Step 5: Solve for x
    x = 22,840,905.14/5,764.10
  6. Step 6: Final answer
    x = 3,962.61

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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.