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Finding the Fourth Proportional to 3,604.81, 5,409.35 and 1,524.70

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Solution

The fourth proportional to 3,604.81, 5,409.35 and 1,524.70 is: 2,287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.81 : 5,409.35 = 1,524.70 : x
  2. Step 2: Convert to fraction form
    3,604.81/5,409.35 = 1,524.70/x
  3. Step 3: Cross multiply
    3,604.81x = 5,409.35 × 1,524.70
  4. Step 4: Simplify right side
    3,604.81x = 8,247,635.95
  5. Step 5: Solve for x
    x = 8,247,635.95/3,604.81
  6. Step 6: Final answer
    x = 2,287.95

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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.