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Finding the Fourth Proportional to 5,266.36, 7,897.80 and 1,755.60

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Solution

The fourth proportional to 5,266.36, 7,897.80 and 1,755.60 is: 2,632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.36 : 7,897.80 = 1,755.60 : x
  2. Step 2: Convert to fraction form
    5,266.36/7,897.80 = 1,755.60/x
  3. Step 3: Cross multiply
    5,266.36x = 7,897.80 × 1,755.60
  4. Step 4: Simplify right side
    5,266.36x = 13,865,377.68
  5. Step 5: Solve for x
    x = 13,865,377.68/5,266.36
  6. Step 6: Final answer
    x = 2,632.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.