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Finding the Fourth Proportional to 4,734.93, 7,103.93 and 1,448.01

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Solution

The fourth proportional to 4,734.93, 7,103.93 and 1,448.01 is: 2,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.93 : 7,103.93 = 1,448.01 : x
  2. Step 2: Convert to fraction form
    4,734.93/7,103.93 = 1,448.01/x
  3. Step 3: Cross multiply
    4,734.93x = 7,103.93 × 1,448.01
  4. Step 4: Simplify right side
    4,734.93x = 10,286,561.68
  5. Step 5: Solve for x
    x = 10,286,561.68/4,734.93
  6. Step 6: Final answer
    x = 2,172.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.