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Finding the Fourth Proportional to 4,731.20, 7,091.04 and 4,144.64

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Solution

The fourth proportional to 4,731.20, 7,091.04 and 4,144.64 is: 6,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.20 : 7,091.04 = 4,144.64 : x
  2. Step 2: Convert to fraction form
    4,731.20/7,091.04 = 4,144.64/x
  3. Step 3: Cross multiply
    4,731.20x = 7,091.04 × 4,144.64
  4. Step 4: Simplify right side
    4,731.20x = 29,389,808.03
  5. Step 5: Solve for x
    x = 29,389,808.03/4,731.20
  6. Step 6: Final answer
    x = 6,211.91

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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.