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Finding the Fourth Proportional to 4,195.53, 6,288.68 and 1,729

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Solution

The fourth proportional to 4,195.53, 6,288.68 and 1,729 is: 2,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.53 : 6,288.68 = 1,729 : x
  2. Step 2: Convert to fraction form
    4,195.53/6,288.68 = 1,729/x
  3. Step 3: Cross multiply
    4,195.53x = 6,288.68 × 1,729
  4. Step 4: Simplify right side
    4,195.53x = 10,873,127.72
  5. Step 5: Solve for x
    x = 10,873,127.72/4,195.53
  6. Step 6: Final answer
    x = 2,591.60

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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.