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Finding the Fourth Proportional to 5,133.06, 7,699.65 and 1,846.23

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Solution

The fourth proportional to 5,133.06, 7,699.65 and 1,846.23 is: 2,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.06 : 7,699.65 = 1,846.23 : x
  2. Step 2: Convert to fraction form
    5,133.06/7,699.65 = 1,846.23/x
  3. Step 3: Cross multiply
    5,133.06x = 7,699.65 × 1,846.23
  4. Step 4: Simplify right side
    5,133.06x = 14,215,324.82
  5. Step 5: Solve for x
    x = 14,215,324.82/5,133.06
  6. Step 6: Final answer
    x = 2,769.37

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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.