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Finding the Fourth Proportional to 5,172.00, 7,755.12 and 3,064.48

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Solution

The fourth proportional to 5,172.00, 7,755.12 and 3,064.48 is: 4,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.00 : 7,755.12 = 3,064.48 : x
  2. Step 2: Convert to fraction form
    5,172.00/7,755.12 = 3,064.48/x
  3. Step 3: Cross multiply
    5,172.00x = 7,755.12 × 3,064.48
  4. Step 4: Simplify right side
    5,172.00x = 23,765,425.75
  5. Step 5: Solve for x
    x = 23,765,425.75/5,172.00
  6. Step 6: Final answer
    x = 4,595.01

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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.