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Finding the Fourth Proportional to 4,043.34, 6,064.82 and 1,411.44

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Solution

The fourth proportional to 4,043.34, 6,064.82 and 1,411.44 is: 2,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,043.34 : 6,064.82 = 1,411.44 : x
  2. Step 2: Convert to fraction form
    4,043.34/6,064.82 = 1,411.44/x
  3. Step 3: Cross multiply
    4,043.34x = 6,064.82 × 1,411.44
  4. Step 4: Simplify right side
    4,043.34x = 8,560,129.54
  5. Step 5: Solve for x
    x = 8,560,129.54/4,043.34
  6. Step 6: Final answer
    x = 2,117.09

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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.