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Finding the Fourth Proportional to 6,436.05, 9,652.46 and 2,540.49

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Solution

The fourth proportional to 6,436.05, 9,652.46 and 2,540.49 is: 3,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.05 : 9,652.46 = 2,540.49 : x
  2. Step 2: Convert to fraction form
    6,436.05/9,652.46 = 2,540.49/x
  3. Step 3: Cross multiply
    6,436.05x = 9,652.46 × 2,540.49
  4. Step 4: Simplify right side
    6,436.05x = 24,521,965.40
  5. Step 5: Solve for x
    x = 24,521,965.40/6,436.05
  6. Step 6: Final answer
    x = 3,810.10

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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.