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Finding the Fourth Proportional to 4,736.84, 7,103.46 and 1,448.92

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Solution

The fourth proportional to 4,736.84, 7,103.46 and 1,448.92 is: 2,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.84 : 7,103.46 = 1,448.92 : x
  2. Step 2: Convert to fraction form
    4,736.84/7,103.46 = 1,448.92/x
  3. Step 3: Cross multiply
    4,736.84x = 7,103.46 × 1,448.92
  4. Step 4: Simplify right side
    4,736.84x = 10,292,345.26
  5. Step 5: Solve for x
    x = 10,292,345.26/4,736.84
  6. Step 6: Final answer
    x = 2,172.83

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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.