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Finding the Fourth Proportional to 3,478.49, 5,216.55 and 1,397.96

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Solution

The fourth proportional to 3,478.49, 5,216.55 and 1,397.96 is: 2,096.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.49 : 5,216.55 = 1,397.96 : x
  2. Step 2: Convert to fraction form
    3,478.49/5,216.55 = 1,397.96/x
  3. Step 3: Cross multiply
    3,478.49x = 5,216.55 × 1,397.96
  4. Step 4: Simplify right side
    3,478.49x = 7,292,524.34
  5. Step 5: Solve for x
    x = 7,292,524.34/3,478.49
  6. Step 6: Final answer
    x = 2,096.46

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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.