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Finding the Fourth Proportional to 3,630, 5,445.64 and 1,164.88

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Solution

The fourth proportional to 3,630, 5,445.64 and 1,164.88 is: 1,747.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630 : 5,445.64 = 1,164.88 : x
  2. Step 2: Convert to fraction form
    3,630/5,445.64 = 1,164.88/x
  3. Step 3: Cross multiply
    3,630x = 5,445.64 × 1,164.88
  4. Step 4: Simplify right side
    3,630x = 6,343,517.12
  5. Step 5: Solve for x
    x = 6,343,517.12/3,630
  6. Step 6: Final answer
    x = 1,747.53

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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.