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Finding the Fourth Proportional to 4,682.44, 6,461.77 and 2,558

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Solution

The fourth proportional to 4,682.44, 6,461.77 and 2,558 is: 3,530.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.44 : 6,461.77 = 2,558 : x
  2. Step 2: Convert to fraction form
    4,682.44/6,461.77 = 2,558/x
  3. Step 3: Cross multiply
    4,682.44x = 6,461.77 × 2,558
  4. Step 4: Simplify right side
    4,682.44x = 16,529,207.66
  5. Step 5: Solve for x
    x = 16,529,207.66/4,682.44
  6. Step 6: Final answer
    x = 3,530.04

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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.