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Finding the Fourth Proportional to 3,461.51, 5,195.61 and 3,274.20

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Solution

The fourth proportional to 3,461.51, 5,195.61 and 3,274.20 is: 4,914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.51 : 5,195.61 = 3,274.20 : x
  2. Step 2: Convert to fraction form
    3,461.51/5,195.61 = 3,274.20/x
  3. Step 3: Cross multiply
    3,461.51x = 5,195.61 × 3,274.20
  4. Step 4: Simplify right side
    3,461.51x = 17,011,466.26
  5. Step 5: Solve for x
    x = 17,011,466.26/3,461.51
  6. Step 6: Final answer
    x = 4,914.46

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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.