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Finding the Fourth Proportional to 4,758.72, 7,138.92 and 1,680

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Solution

The fourth proportional to 4,758.72, 7,138.92 and 1,680 is: 2,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.72 : 7,138.92 = 1,680 : x
  2. Step 2: Convert to fraction form
    4,758.72/7,138.92 = 1,680/x
  3. Step 3: Cross multiply
    4,758.72x = 7,138.92 × 1,680
  4. Step 4: Simplify right side
    4,758.72x = 11,993,385.60
  5. Step 5: Solve for x
    x = 11,993,385.60/4,758.72
  6. Step 6: Final answer
    x = 2,520.30

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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.