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Finding the Fourth Proportional to 4,966.09, 7,450.34 and 1,846.20

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Solution

The fourth proportional to 4,966.09, 7,450.34 and 1,846.20 is: 2,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.09 : 7,450.34 = 1,846.20 : x
  2. Step 2: Convert to fraction form
    4,966.09/7,450.34 = 1,846.20/x
  3. Step 3: Cross multiply
    4,966.09x = 7,450.34 × 1,846.20
  4. Step 4: Simplify right side
    4,966.09x = 13,754,808.48
  5. Step 5: Solve for x
    x = 13,754,808.48/4,966.09
  6. Step 6: Final answer
    x = 2,769.75

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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.