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Finding the Fourth Proportional to 3,639.40, 5,459.10 and 1,448.15

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Solution

The fourth proportional to 3,639.40, 5,459.10 and 1,448.15 is: 2,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.40 : 5,459.10 = 1,448.15 : x
  2. Step 2: Convert to fraction form
    3,639.40/5,459.10 = 1,448.15/x
  3. Step 3: Cross multiply
    3,639.40x = 5,459.10 × 1,448.15
  4. Step 4: Simplify right side
    3,639.40x = 7,905,562.94
  5. Step 5: Solve for x
    x = 7,905,562.94/3,639.40
  6. Step 6: Final answer
    x = 2,172.22

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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.