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Finding the Fourth Proportional to 3,162.22, 4,363.86 and 1,835.98

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Solution

The fourth proportional to 3,162.22, 4,363.86 and 1,835.98 is: 2,533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.22 : 4,363.86 = 1,835.98 : x
  2. Step 2: Convert to fraction form
    3,162.22/4,363.86 = 1,835.98/x
  3. Step 3: Cross multiply
    3,162.22x = 4,363.86 × 1,835.98
  4. Step 4: Simplify right side
    3,162.22x = 8,011,959.68
  5. Step 5: Solve for x
    x = 8,011,959.68/3,162.22
  6. Step 6: Final answer
    x = 2,533.65

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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.