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Finding the Fourth Proportional to 3,630.68, 5,445.51 and 1,165.72

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Solution

The fourth proportional to 3,630.68, 5,445.51 and 1,165.72 is: 1,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.68 : 5,445.51 = 1,165.72 : x
  2. Step 2: Convert to fraction form
    3,630.68/5,445.51 = 1,165.72/x
  3. Step 3: Cross multiply
    3,630.68x = 5,445.51 × 1,165.72
  4. Step 4: Simplify right side
    3,630.68x = 6,347,912.69
  5. Step 5: Solve for x
    x = 6,347,912.69/3,630.68
  6. Step 6: Final answer
    x = 1,748.41

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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.