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Finding the Fourth Proportional to 4,596.57, 6,342.81 and 2,606.73

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Solution

The fourth proportional to 4,596.57, 6,342.81 and 2,606.73 is: 3,597.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.57 : 6,342.81 = 2,606.73 : x
  2. Step 2: Convert to fraction form
    4,596.57/6,342.81 = 2,606.73/x
  3. Step 3: Cross multiply
    4,596.57x = 6,342.81 × 2,606.73
  4. Step 4: Simplify right side
    4,596.57x = 16,533,993.11
  5. Step 5: Solve for x
    x = 16,533,993.11/4,596.57
  6. Step 6: Final answer
    x = 3,597.03

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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.