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Finding the Fourth Proportional to 4,672.32, 6,447.74 and 2,682.96

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Solution

The fourth proportional to 4,672.32, 6,447.74 and 2,682.96 is: 3,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.32 : 6,447.74 = 2,682.96 : x
  2. Step 2: Convert to fraction form
    4,672.32/6,447.74 = 2,682.96/x
  3. Step 3: Cross multiply
    4,672.32x = 6,447.74 × 2,682.96
  4. Step 4: Simplify right side
    4,672.32x = 17,299,015.10
  5. Step 5: Solve for x
    x = 17,299,015.10/4,672.32
  6. Step 6: Final answer
    x = 3,702.45

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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.