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Finding the Fourth Proportional to 4,682.76, 6,462.21 and 2,558.32

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Solution

The fourth proportional to 4,682.76, 6,462.21 and 2,558.32 is: 3,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.76 : 6,462.21 = 2,558.32 : x
  2. Step 2: Convert to fraction form
    4,682.76/6,462.21 = 2,558.32/x
  3. Step 3: Cross multiply
    4,682.76x = 6,462.21 × 2,558.32
  4. Step 4: Simplify right side
    4,682.76x = 16,532,355.98
  5. Step 5: Solve for x
    x = 16,532,355.98/4,682.76
  6. Step 6: Final answer
    x = 3,530.48

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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.