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Finding the Fourth Proportional to 4,309.42, 6,458.37 and 2,663.98

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Solution

The fourth proportional to 4,309.42, 6,458.37 and 2,663.98 is: 3,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.42 : 6,458.37 = 2,663.98 : x
  2. Step 2: Convert to fraction form
    4,309.42/6,458.37 = 2,663.98/x
  3. Step 3: Cross multiply
    4,309.42x = 6,458.37 × 2,663.98
  4. Step 4: Simplify right side
    4,309.42x = 17,204,968.51
  5. Step 5: Solve for x
    x = 17,204,968.51/4,309.42
  6. Step 6: Final answer
    x = 3,992.41

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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.