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Finding the Fourth Proportional to 4,613.21, 6,365.25 and 2,934

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Solution

The fourth proportional to 4,613.21, 6,365.25 and 2,934 is: 4,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.21 : 6,365.25 = 2,934 : x
  2. Step 2: Convert to fraction form
    4,613.21/6,365.25 = 2,934/x
  3. Step 3: Cross multiply
    4,613.21x = 6,365.25 × 2,934
  4. Step 4: Simplify right side
    4,613.21x = 18,675,643.50
  5. Step 5: Solve for x
    x = 18,675,643.50/4,613.21
  6. Step 6: Final answer
    x = 4,048.30

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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.