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Finding the Fourth Proportional to 5,188.37, 7,775.87 and 1,897.54

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Solution

The fourth proportional to 5,188.37, 7,775.87 and 1,897.54 is: 2,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.37 : 7,775.87 = 1,897.54 : x
  2. Step 2: Convert to fraction form
    5,188.37/7,775.87 = 1,897.54/x
  3. Step 3: Cross multiply
    5,188.37x = 7,775.87 × 1,897.54
  4. Step 4: Simplify right side
    5,188.37x = 14,754,995.43
  5. Step 5: Solve for x
    x = 14,754,995.43/5,188.37
  6. Step 6: Final answer
    x = 2,843.86

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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.