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Finding the Fourth Proportional to 3,629.76, 5,444.68 and 1,164.64

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Solution

The fourth proportional to 3,629.76, 5,444.68 and 1,164.64 is: 1,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.76 : 5,444.68 = 1,164.64 : x
  2. Step 2: Convert to fraction form
    3,629.76/5,444.68 = 1,164.64/x
  3. Step 3: Cross multiply
    3,629.76x = 5,444.68 × 1,164.64
  4. Step 4: Simplify right side
    3,629.76x = 6,341,092.12
  5. Step 5: Solve for x
    x = 6,341,092.12/3,629.76
  6. Step 6: Final answer
    x = 1,746.97

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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.