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Finding the Fourth Proportional to 4,596.34, 6,342.96 and 2,606.44

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Solution

The fourth proportional to 4,596.34, 6,342.96 and 2,606.44 is: 3,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.34 : 6,342.96 = 2,606.44 : x
  2. Step 2: Convert to fraction form
    4,596.34/6,342.96 = 2,606.44/x
  3. Step 3: Cross multiply
    4,596.34x = 6,342.96 × 2,606.44
  4. Step 4: Simplify right side
    4,596.34x = 16,532,544.66
  5. Step 5: Solve for x
    x = 16,532,544.66/4,596.34
  6. Step 6: Final answer
    x = 3,596.89

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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.