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Finding the Fourth Proportional to 4,768.64, 7,153.16 and 1,305.88

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Solution

The fourth proportional to 4,768.64, 7,153.16 and 1,305.88 is: 1,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.64 : 7,153.16 = 1,305.88 : x
  2. Step 2: Convert to fraction form
    4,768.64/7,153.16 = 1,305.88/x
  3. Step 3: Cross multiply
    4,768.64x = 7,153.16 × 1,305.88
  4. Step 4: Simplify right side
    4,768.64x = 9,341,168.58
  5. Step 5: Solve for x
    x = 9,341,168.58/4,768.64
  6. Step 6: Final answer
    x = 1,958.87

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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.