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Finding the Fourth Proportional to 3,623.79, 5,435.73 and 1,026.73

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Solution

The fourth proportional to 3,623.79, 5,435.73 and 1,026.73 is: 1,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.79 : 5,435.73 = 1,026.73 : x
  2. Step 2: Convert to fraction form
    3,623.79/5,435.73 = 1,026.73/x
  3. Step 3: Cross multiply
    3,623.79x = 5,435.73 × 1,026.73
  4. Step 4: Simplify right side
    3,623.79x = 5,581,006.17
  5. Step 5: Solve for x
    x = 5,581,006.17/3,623.79
  6. Step 6: Final answer
    x = 1,540.10

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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.