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Finding the Fourth Proportional to 3,911.06, 5,864.52 and 1,445.42

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Solution

The fourth proportional to 3,911.06, 5,864.52 and 1,445.42 is: 2,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.06 : 5,864.52 = 1,445.42 : x
  2. Step 2: Convert to fraction form
    3,911.06/5,864.52 = 1,445.42/x
  3. Step 3: Cross multiply
    3,911.06x = 5,864.52 × 1,445.42
  4. Step 4: Simplify right side
    3,911.06x = 8,476,694.50
  5. Step 5: Solve for x
    x = 8,476,694.50/3,911.06
  6. Step 6: Final answer
    x = 2,167.36

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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.