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Finding the Fourth Proportional to 5,787.34, 8,676.14 and 2,327.02

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Solution

The fourth proportional to 5,787.34, 8,676.14 and 2,327.02 is: 3,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.34 : 8,676.14 = 2,327.02 : x
  2. Step 2: Convert to fraction form
    5,787.34/8,676.14 = 2,327.02/x
  3. Step 3: Cross multiply
    5,787.34x = 8,676.14 × 2,327.02
  4. Step 4: Simplify right side
    5,787.34x = 20,189,551.30
  5. Step 5: Solve for x
    x = 20,189,551.30/5,787.34
  6. Step 6: Final answer
    x = 3,488.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.