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Finding the Fourth Proportional to 4,595.28, 6,893.73 and 1,822.38

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Solution

The fourth proportional to 4,595.28, 6,893.73 and 1,822.38 is: 2,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.28 : 6,893.73 = 1,822.38 : x
  2. Step 2: Convert to fraction form
    4,595.28/6,893.73 = 1,822.38/x
  3. Step 3: Cross multiply
    4,595.28x = 6,893.73 × 1,822.38
  4. Step 4: Simplify right side
    4,595.28x = 12,562,995.68
  5. Step 5: Solve for x
    x = 12,562,995.68/4,595.28
  6. Step 6: Final answer
    x = 2,733.89

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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.