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Finding the Fourth Proportional to 3,751.83, 5,629.38 and 1,444.95

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Solution

The fourth proportional to 3,751.83, 5,629.38 and 1,444.95 is: 2,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.83 : 5,629.38 = 1,444.95 : x
  2. Step 2: Convert to fraction form
    3,751.83/5,629.38 = 1,444.95/x
  3. Step 3: Cross multiply
    3,751.83x = 5,629.38 × 1,444.95
  4. Step 4: Simplify right side
    3,751.83x = 8,134,172.63
  5. Step 5: Solve for x
    x = 8,134,172.63/3,751.83
  6. Step 6: Final answer
    x = 2,168.05

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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.