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Finding the Fourth Proportional to 5,414.04, 7,473.06 and 3,648.24

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Solution

The fourth proportional to 5,414.04, 7,473.06 and 3,648.24 is: 5,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.04 : 7,473.06 = 3,648.24 : x
  2. Step 2: Convert to fraction form
    5,414.04/7,473.06 = 3,648.24/x
  3. Step 3: Cross multiply
    5,414.04x = 7,473.06 × 3,648.24
  4. Step 4: Simplify right side
    5,414.04x = 27,263,516.41
  5. Step 5: Solve for x
    x = 27,263,516.41/5,414.04
  6. Step 6: Final answer
    x = 5,035.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.