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Finding the Fourth Proportional to 3,162.06, 4,738.23 and 1,862.10

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Solution

The fourth proportional to 3,162.06, 4,738.23 and 1,862.10 is: 2,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.06 : 4,738.23 = 1,862.10 : x
  2. Step 2: Convert to fraction form
    3,162.06/4,738.23 = 1,862.10/x
  3. Step 3: Cross multiply
    3,162.06x = 4,738.23 × 1,862.10
  4. Step 4: Simplify right side
    3,162.06x = 8,823,058.08
  5. Step 5: Solve for x
    x = 8,823,058.08/3,162.06
  6. Step 6: Final answer
    x = 2,790.29

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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.