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Finding the Fourth Proportional to 3,544.52, 5,316.21 and 1,204.43

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Solution

The fourth proportional to 3,544.52, 5,316.21 and 1,204.43 is: 1,806.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.52 : 5,316.21 = 1,204.43 : x
  2. Step 2: Convert to fraction form
    3,544.52/5,316.21 = 1,204.43/x
  3. Step 3: Cross multiply
    3,544.52x = 5,316.21 × 1,204.43
  4. Step 4: Simplify right side
    3,544.52x = 6,402,976.23
  5. Step 5: Solve for x
    x = 6,402,976.23/3,544.52
  6. Step 6: Final answer
    x = 1,806.45

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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.