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Finding the Fourth Proportional to 3,630.05, 5,444.57 and 1,164.55

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Solution

The fourth proportional to 3,630.05, 5,444.57 and 1,164.55 is: 1,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.05 : 5,444.57 = 1,164.55 : x
  2. Step 2: Convert to fraction form
    3,630.05/5,444.57 = 1,164.55/x
  3. Step 3: Cross multiply
    3,630.05x = 5,444.57 × 1,164.55
  4. Step 4: Simplify right side
    3,630.05x = 6,340,466.95
  5. Step 5: Solve for x
    x = 6,340,466.95/3,630.05
  6. Step 6: Final answer
    x = 1,746.66

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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.