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Finding the Fourth Proportional to 3,435.51, 5,146.07 and 2,196.62

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Solution

The fourth proportional to 3,435.51, 5,146.07 and 2,196.62 is: 3,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.51 : 5,146.07 = 2,196.62 : x
  2. Step 2: Convert to fraction form
    3,435.51/5,146.07 = 2,196.62/x
  3. Step 3: Cross multiply
    3,435.51x = 5,146.07 × 2,196.62
  4. Step 4: Simplify right side
    3,435.51x = 11,303,940.04
  5. Step 5: Solve for x
    x = 11,303,940.04/3,435.51
  6. Step 6: Final answer
    x = 3,290.32

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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.