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Finding the Fourth Proportional to 3,765.54, 5,638.56 and 2,599.14

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Solution

The fourth proportional to 3,765.54, 5,638.56 and 2,599.14 is: 3,891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.54 : 5,638.56 = 2,599.14 : x
  2. Step 2: Convert to fraction form
    3,765.54/5,638.56 = 2,599.14/x
  3. Step 3: Cross multiply
    3,765.54x = 5,638.56 × 2,599.14
  4. Step 4: Simplify right side
    3,765.54x = 14,655,406.84
  5. Step 5: Solve for x
    x = 14,655,406.84/3,765.54
  6. Step 6: Final answer
    x = 3,891.98

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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.