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Finding the Fourth Proportional to 4,196.84, 6,296.00 and 1,730.31

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Solution

The fourth proportional to 4,196.84, 6,296.00 and 1,730.31 is: 2,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.84 : 6,296.00 = 1,730.31 : x
  2. Step 2: Convert to fraction form
    4,196.84/6,296.00 = 1,730.31/x
  3. Step 3: Cross multiply
    4,196.84x = 6,296.00 × 1,730.31
  4. Step 4: Simplify right side
    4,196.84x = 10,894,049.51
  5. Step 5: Solve for x
    x = 10,894,049.51/4,196.84
  6. Step 6: Final answer
    x = 2,595.78

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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.