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Finding the Fourth Proportional to 3,162.50, 4,364.78 and 1,837.30

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Solution

The fourth proportional to 3,162.50, 4,364.78 and 1,837.30 is: 2,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.50 : 4,364.78 = 1,837.30 : x
  2. Step 2: Convert to fraction form
    3,162.50/4,364.78 = 1,837.30/x
  3. Step 3: Cross multiply
    3,162.50x = 4,364.78 × 1,837.30
  4. Step 4: Simplify right side
    3,162.50x = 8,019,410.29
  5. Step 5: Solve for x
    x = 8,019,410.29/3,162.50
  6. Step 6: Final answer
    x = 2,535.78

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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.