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Finding the Fourth Proportional to 3,477.41, 5,218.24 and 1,397.03

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Solution

The fourth proportional to 3,477.41, 5,218.24 and 1,397.03 is: 2,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.41 : 5,218.24 = 1,397.03 : x
  2. Step 2: Convert to fraction form
    3,477.41/5,218.24 = 1,397.03/x
  3. Step 3: Cross multiply
    3,477.41x = 5,218.24 × 1,397.03
  4. Step 4: Simplify right side
    3,477.41x = 7,290,010.86
  5. Step 5: Solve for x
    x = 7,290,010.86/3,477.41
  6. Step 6: Final answer
    x = 2,096.39

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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.