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Finding the Fourth Proportional to 4,833.87, 7,252.22 and 1,546.89

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Solution

The fourth proportional to 4,833.87, 7,252.22 and 1,546.89 is: 2,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.87 : 7,252.22 = 1,546.89 : x
  2. Step 2: Convert to fraction form
    4,833.87/7,252.22 = 1,546.89/x
  3. Step 3: Cross multiply
    4,833.87x = 7,252.22 × 1,546.89
  4. Step 4: Simplify right side
    4,833.87x = 11,218,386.60
  5. Step 5: Solve for x
    x = 11,218,386.60/4,833.87
  6. Step 6: Final answer
    x = 2,320.79

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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.