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Finding the Fourth Proportional to 3,734.45, 5,597.03 and 1,884.54

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Solution

The fourth proportional to 3,734.45, 5,597.03 and 1,884.54 is: 2,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.45 : 5,597.03 = 1,884.54 : x
  2. Step 2: Convert to fraction form
    3,734.45/5,597.03 = 1,884.54/x
  3. Step 3: Cross multiply
    3,734.45x = 5,597.03 × 1,884.54
  4. Step 4: Simplify right side
    3,734.45x = 10,547,817.49
  5. Step 5: Solve for x
    x = 10,547,817.49/3,734.45
  6. Step 6: Final answer
    x = 2,824.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.