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Finding the Fourth Proportional to 4,558.34, 6,832 and 1,924.82

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Solution

The fourth proportional to 4,558.34, 6,832 and 1,924.82 is: 2,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.34 : 6,832 = 1,924.82 : x
  2. Step 2: Convert to fraction form
    4,558.34/6,832 = 1,924.82/x
  3. Step 3: Cross multiply
    4,558.34x = 6,832 × 1,924.82
  4. Step 4: Simplify right side
    4,558.34x = 13,150,370.24
  5. Step 5: Solve for x
    x = 13,150,370.24/4,558.34
  6. Step 6: Final answer
    x = 2,884.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.