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Finding the Fourth Proportional to 3,628.59, 5,442.20 and 1,162.81

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Solution

The fourth proportional to 3,628.59, 5,442.20 and 1,162.81 is: 1,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.59 : 5,442.20 = 1,162.81 : x
  2. Step 2: Convert to fraction form
    3,628.59/5,442.20 = 1,162.81/x
  3. Step 3: Cross multiply
    3,628.59x = 5,442.20 × 1,162.81
  4. Step 4: Simplify right side
    3,628.59x = 6,328,244.58
  5. Step 5: Solve for x
    x = 6,328,244.58/3,628.59
  6. Step 6: Final answer
    x = 1,744.00

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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.