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Finding the Fourth Proportional to 4,309.37, 6,460.92 and 1,968.11

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Solution

The fourth proportional to 4,309.37, 6,460.92 and 1,968.11 is: 2,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.37 : 6,460.92 = 1,968.11 : x
  2. Step 2: Convert to fraction form
    4,309.37/6,460.92 = 1,968.11/x
  3. Step 3: Cross multiply
    4,309.37x = 6,460.92 × 1,968.11
  4. Step 4: Simplify right side
    4,309.37x = 12,715,801.26
  5. Step 5: Solve for x
    x = 12,715,801.26/4,309.37
  6. Step 6: Final answer
    x = 2,950.73

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Why These Related Problems?

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