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Finding the Fourth Proportional to 3,639.63, 5,462.28 and 1,448.58

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Solution

The fourth proportional to 3,639.63, 5,462.28 and 1,448.58 is: 2,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.63 : 5,462.28 = 1,448.58 : x
  2. Step 2: Convert to fraction form
    3,639.63/5,462.28 = 1,448.58/x
  3. Step 3: Cross multiply
    3,639.63x = 5,462.28 × 1,448.58
  4. Step 4: Simplify right side
    3,639.63x = 7,912,549.56
  5. Step 5: Solve for x
    x = 7,912,549.56/3,639.63
  6. Step 6: Final answer
    x = 2,174.00

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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.