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Finding the Fourth Proportional to 3,734.89, 5,602.33 and 1,102.43

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Solution

The fourth proportional to 3,734.89, 5,602.33 and 1,102.43 is: 1,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.89 : 5,602.33 = 1,102.43 : x
  2. Step 2: Convert to fraction form
    3,734.89/5,602.33 = 1,102.43/x
  3. Step 3: Cross multiply
    3,734.89x = 5,602.33 × 1,102.43
  4. Step 4: Simplify right side
    3,734.89x = 6,176,171.04
  5. Step 5: Solve for x
    x = 6,176,171.04/3,734.89
  6. Step 6: Final answer
    x = 1,653.64

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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.