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Finding the Fourth Proportional to 3,639.54, 5,459.31 and 1,329.78

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Solution

The fourth proportional to 3,639.54, 5,459.31 and 1,329.78 is: 1,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.54 : 5,459.31 = 1,329.78 : x
  2. Step 2: Convert to fraction form
    3,639.54/5,459.31 = 1,329.78/x
  3. Step 3: Cross multiply
    3,639.54x = 5,459.31 × 1,329.78
  4. Step 4: Simplify right side
    3,639.54x = 7,259,681.25
  5. Step 5: Solve for x
    x = 7,259,681.25/3,639.54
  6. Step 6: Final answer
    x = 1,994.67

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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.