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Finding the Fourth Proportional to 3,513.77, 5,269.40 and 1,540.35

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Solution

The fourth proportional to 3,513.77, 5,269.40 and 1,540.35 is: 2,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.77 : 5,269.40 = 1,540.35 : x
  2. Step 2: Convert to fraction form
    3,513.77/5,269.40 = 1,540.35/x
  3. Step 3: Cross multiply
    3,513.77x = 5,269.40 × 1,540.35
  4. Step 4: Simplify right side
    3,513.77x = 8,116,724.14
  5. Step 5: Solve for x
    x = 8,116,724.14/3,513.77
  6. Step 6: Final answer
    x = 2,309.98

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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.