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Finding the Fourth Proportional to 3,400.08, 5,097.04 and 1,208.30

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Solution

The fourth proportional to 3,400.08, 5,097.04 and 1,208.30 is: 1,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.08 : 5,097.04 = 1,208.30 : x
  2. Step 2: Convert to fraction form
    3,400.08/5,097.04 = 1,208.30/x
  3. Step 3: Cross multiply
    3,400.08x = 5,097.04 × 1,208.30
  4. Step 4: Simplify right side
    3,400.08x = 6,158,729.46
  5. Step 5: Solve for x
    x = 6,158,729.46/3,400.08
  6. Step 6: Final answer
    x = 1,811.35

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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.