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Finding the Fourth Proportional to 3,162.17, 4,363.77 and 1,836.65

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Solution

The fourth proportional to 3,162.17, 4,363.77 and 1,836.65 is: 2,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.17 : 4,363.77 = 1,836.65 : x
  2. Step 2: Convert to fraction form
    3,162.17/4,363.77 = 1,836.65/x
  3. Step 3: Cross multiply
    3,162.17x = 4,363.77 × 1,836.65
  4. Step 4: Simplify right side
    3,162.17x = 8,014,696.35
  5. Step 5: Solve for x
    x = 8,014,696.35/3,162.17
  6. Step 6: Final answer
    x = 2,534.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.