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Finding the Fourth Proportional to 3,289, 4,534.62 and 1,962.22

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Solution

The fourth proportional to 3,289, 4,534.62 and 1,962.22 is: 2,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289 : 4,534.62 = 1,962.22 : x
  2. Step 2: Convert to fraction form
    3,289/4,534.62 = 1,962.22/x
  3. Step 3: Cross multiply
    3,289x = 4,534.62 × 1,962.22
  4. Step 4: Simplify right side
    3,289x = 8,897,922.06
  5. Step 5: Solve for x
    x = 8,897,922.06/3,289
  6. Step 6: Final answer
    x = 2,705.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.