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Finding the Fourth Proportional to 4,767.29, 7,146.16 and 1,645.75

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Solution

The fourth proportional to 4,767.29, 7,146.16 and 1,645.75 is: 2,466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.29 : 7,146.16 = 1,645.75 : x
  2. Step 2: Convert to fraction form
    4,767.29/7,146.16 = 1,645.75/x
  3. Step 3: Cross multiply
    4,767.29x = 7,146.16 × 1,645.75
  4. Step 4: Simplify right side
    4,767.29x = 11,760,797.64
  5. Step 5: Solve for x
    x = 11,760,797.64/4,767.29
  6. Step 6: Final answer
    x = 2,466.98

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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.