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Finding the Fourth Proportional to 5,644.64, 8,467.68 and 2,360

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Solution

The fourth proportional to 5,644.64, 8,467.68 and 2,360 is: 3,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.64 : 8,467.68 = 2,360 : x
  2. Step 2: Convert to fraction form
    5,644.64/8,467.68 = 2,360/x
  3. Step 3: Cross multiply
    5,644.64x = 8,467.68 × 2,360
  4. Step 4: Simplify right side
    5,644.64x = 19,983,724.80
  5. Step 5: Solve for x
    x = 19,983,724.80/5,644.64
  6. Step 6: Final answer
    x = 3,540.30

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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.