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Finding the Fourth Proportional to 3,397.52, 5,096.01 and 1,206.20

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Solution

The fourth proportional to 3,397.52, 5,096.01 and 1,206.20 is: 1,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.52 : 5,096.01 = 1,206.20 : x
  2. Step 2: Convert to fraction form
    3,397.52/5,096.01 = 1,206.20/x
  3. Step 3: Cross multiply
    3,397.52x = 5,096.01 × 1,206.20
  4. Step 4: Simplify right side
    3,397.52x = 6,146,807.26
  5. Step 5: Solve for x
    x = 6,146,807.26/3,397.52
  6. Step 6: Final answer
    x = 1,809.20

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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.