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Finding the Fourth Proportional to 3,628.81, 5,442.81 and 996.51

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Solution

The fourth proportional to 3,628.81, 5,442.81 and 996.51 is: 1,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.81 : 5,442.81 = 996.51 : x
  2. Step 2: Convert to fraction form
    3,628.81/5,442.81 = 996.51/x
  3. Step 3: Cross multiply
    3,628.81x = 5,442.81 × 996.51
  4. Step 4: Simplify right side
    3,628.81x = 5,423,831.27
  5. Step 5: Solve for x
    x = 5,423,831.27/3,628.81
  6. Step 6: Final answer
    x = 1,494.66

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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.