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Finding the Fourth Proportional to 4,203.98, 6,297.76 and 3,091.35

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Solution

The fourth proportional to 4,203.98, 6,297.76 and 3,091.35 is: 4,630.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.98 : 6,297.76 = 3,091.35 : x
  2. Step 2: Convert to fraction form
    4,203.98/6,297.76 = 3,091.35/x
  3. Step 3: Cross multiply
    4,203.98x = 6,297.76 × 3,091.35
  4. Step 4: Simplify right side
    4,203.98x = 19,468,580.38
  5. Step 5: Solve for x
    x = 19,468,580.38/4,203.98
  6. Step 6: Final answer
    x = 4,630.99

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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.