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Finding the Fourth Proportional to 3,274.33, 4,911.90 and 1,053.31

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Solution

The fourth proportional to 3,274.33, 4,911.90 and 1,053.31 is: 1,580.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.33 : 4,911.90 = 1,053.31 : x
  2. Step 2: Convert to fraction form
    3,274.33/4,911.90 = 1,053.31/x
  3. Step 3: Cross multiply
    3,274.33x = 4,911.90 × 1,053.31
  4. Step 4: Simplify right side
    3,274.33x = 5,173,728.83
  5. Step 5: Solve for x
    x = 5,173,728.83/3,274.33
  6. Step 6: Final answer
    x = 1,580.09

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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.