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Finding the Fourth Proportional to 4,195.76, 6,294.40 and 1,729.21

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Solution

The fourth proportional to 4,195.76, 6,294.40 and 1,729.21 is: 2,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.76 : 6,294.40 = 1,729.21 : x
  2. Step 2: Convert to fraction form
    4,195.76/6,294.40 = 1,729.21/x
  3. Step 3: Cross multiply
    4,195.76x = 6,294.40 × 1,729.21
  4. Step 4: Simplify right side
    4,195.76x = 10,884,339.42
  5. Step 5: Solve for x
    x = 10,884,339.42/4,195.76
  6. Step 6: Final answer
    x = 2,594.13

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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.