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Finding the Fourth Proportional to 3,623.41, 5,436.03 and 1,026.37

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Solution

The fourth proportional to 3,623.41, 5,436.03 and 1,026.37 is: 1,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.41 : 5,436.03 = 1,026.37 : x
  2. Step 2: Convert to fraction form
    3,623.41/5,436.03 = 1,026.37/x
  3. Step 3: Cross multiply
    3,623.41x = 5,436.03 × 1,026.37
  4. Step 4: Simplify right side
    3,623.41x = 5,579,378.11
  5. Step 5: Solve for x
    x = 5,579,378.11/3,623.41
  6. Step 6: Final answer
    x = 1,539.81

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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.