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Finding the Fourth Proportional to 4,558.72, 6,838.11 and 1,637.05

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Solution

The fourth proportional to 4,558.72, 6,838.11 and 1,637.05 is: 2,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.72 : 6,838.11 = 1,637.05 : x
  2. Step 2: Convert to fraction form
    4,558.72/6,838.11 = 1,637.05/x
  3. Step 3: Cross multiply
    4,558.72x = 6,838.11 × 1,637.05
  4. Step 4: Simplify right side
    4,558.72x = 11,194,327.98
  5. Step 5: Solve for x
    x = 11,194,327.98/4,558.72
  6. Step 6: Final answer
    x = 2,455.59

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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.