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Finding the Fourth Proportional to 3,897.37, 5,808.23 and 3,772.84

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Solution

The fourth proportional to 3,897.37, 5,808.23 and 3,772.84 is: 5,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.37 : 5,808.23 = 3,772.84 : x
  2. Step 2: Convert to fraction form
    3,897.37/5,808.23 = 3,772.84/x
  3. Step 3: Cross multiply
    3,897.37x = 5,808.23 × 3,772.84
  4. Step 4: Simplify right side
    3,897.37x = 21,913,522.47
  5. Step 5: Solve for x
    x = 21,913,522.47/3,897.37
  6. Step 6: Final answer
    x = 5,622.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.