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Finding the Fourth Proportional to 4,752.33, 7,129.20 and 1,633.14

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Solution

The fourth proportional to 4,752.33, 7,129.20 and 1,633.14 is: 2,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.33 : 7,129.20 = 1,633.14 : x
  2. Step 2: Convert to fraction form
    4,752.33/7,129.20 = 1,633.14/x
  3. Step 3: Cross multiply
    4,752.33x = 7,129.20 × 1,633.14
  4. Step 4: Simplify right side
    4,752.33x = 11,642,981.69
  5. Step 5: Solve for x
    x = 11,642,981.69/4,752.33
  6. Step 6: Final answer
    x = 2,449.95

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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.