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Finding the Fourth Proportional to 4,768.85, 7,152.51 and 1,305.29

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Solution

The fourth proportional to 4,768.85, 7,152.51 and 1,305.29 is: 1,957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.85 : 7,152.51 = 1,305.29 : x
  2. Step 2: Convert to fraction form
    4,768.85/7,152.51 = 1,305.29/x
  3. Step 3: Cross multiply
    4,768.85x = 7,152.51 × 1,305.29
  4. Step 4: Simplify right side
    4,768.85x = 9,336,099.78
  5. Step 5: Solve for x
    x = 9,336,099.78/4,768.85
  6. Step 6: Final answer
    x = 1,957.73

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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.