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Finding the Fourth Proportional to 4,763.99, 7,146.46 and 1,643.58

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Solution

The fourth proportional to 4,763.99, 7,146.46 and 1,643.58 is: 2,465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.99 : 7,146.46 = 1,643.58 : x
  2. Step 2: Convert to fraction form
    4,763.99/7,146.46 = 1,643.58/x
  3. Step 3: Cross multiply
    4,763.99x = 7,146.46 × 1,643.58
  4. Step 4: Simplify right side
    4,763.99x = 11,745,778.73
  5. Step 5: Solve for x
    x = 11,745,778.73/4,763.99
  6. Step 6: Final answer
    x = 2,465.53

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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.