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Finding the Fourth Proportional to 4,704.76, 6,493.16 and 3,091.06

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Solution

The fourth proportional to 4,704.76, 6,493.16 and 3,091.06 is: 4,266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.76 : 6,493.16 = 3,091.06 : x
  2. Step 2: Convert to fraction form
    4,704.76/6,493.16 = 3,091.06/x
  3. Step 3: Cross multiply
    4,704.76x = 6,493.16 × 3,091.06
  4. Step 4: Simplify right side
    4,704.76x = 20,070,747.15
  5. Step 5: Solve for x
    x = 20,070,747.15/4,704.76
  6. Step 6: Final answer
    x = 4,266.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.