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Finding the Fourth Proportional to 4,679.64, 6,452.65 and 3,188.43

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Solution

The fourth proportional to 4,679.64, 6,452.65 and 3,188.43 is: 4,396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.64 : 6,452.65 = 3,188.43 : x
  2. Step 2: Convert to fraction form
    4,679.64/6,452.65 = 3,188.43/x
  3. Step 3: Cross multiply
    4,679.64x = 6,452.65 × 3,188.43
  4. Step 4: Simplify right side
    4,679.64x = 20,573,818.66
  5. Step 5: Solve for x
    x = 20,573,818.66/4,679.64
  6. Step 6: Final answer
    x = 4,396.46

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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.