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Finding the Fourth Proportional to 4,755.64, 7,130.80 and 1,467.80

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Solution

The fourth proportional to 4,755.64, 7,130.80 and 1,467.80 is: 2,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.64 : 7,130.80 = 1,467.80 : x
  2. Step 2: Convert to fraction form
    4,755.64/7,130.80 = 1,467.80/x
  3. Step 3: Cross multiply
    4,755.64x = 7,130.80 × 1,467.80
  4. Step 4: Simplify right side
    4,755.64x = 10,466,588.24
  5. Step 5: Solve for x
    x = 10,466,588.24/4,755.64
  6. Step 6: Final answer
    x = 2,200.88

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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.