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Finding the Fourth Proportional to 4,201.37, 6,297.93 and 1,566.93

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Solution

The fourth proportional to 4,201.37, 6,297.93 and 1,566.93 is: 2,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.37 : 6,297.93 = 1,566.93 : x
  2. Step 2: Convert to fraction form
    4,201.37/6,297.93 = 1,566.93/x
  3. Step 3: Cross multiply
    4,201.37x = 6,297.93 × 1,566.93
  4. Step 4: Simplify right side
    4,201.37x = 9,868,415.45
  5. Step 5: Solve for x
    x = 9,868,415.45/4,201.37
  6. Step 6: Final answer
    x = 2,348.86

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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.