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Finding the Fourth Proportional to 3,476.21, 5,214.32 and 1,169.33

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Solution

The fourth proportional to 3,476.21, 5,214.32 and 1,169.33 is: 1,754.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.21 : 5,214.32 = 1,169.33 : x
  2. Step 2: Convert to fraction form
    3,476.21/5,214.32 = 1,169.33/x
  3. Step 3: Cross multiply
    3,476.21x = 5,214.32 × 1,169.33
  4. Step 4: Simplify right side
    3,476.21x = 6,097,254.96
  5. Step 5: Solve for x
    x = 6,097,254.96/3,476.21
  6. Step 6: Final answer
    x = 1,754.00

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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.