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Finding the Fourth Proportional to 3,397.48, 5,096.99 and 1,206.20

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Solution

The fourth proportional to 3,397.48, 5,096.99 and 1,206.20 is: 1,809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.48 : 5,096.99 = 1,206.20 : x
  2. Step 2: Convert to fraction form
    3,397.48/5,096.99 = 1,206.20/x
  3. Step 3: Cross multiply
    3,397.48x = 5,096.99 × 1,206.20
  4. Step 4: Simplify right side
    3,397.48x = 6,148,005.10
  5. Step 5: Solve for x
    x = 6,148,005.10/3,397.48
  6. Step 6: Final answer
    x = 1,809.58

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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.