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Finding the Fourth Proportional to 3,638.59, 5,458.61 and 1,173.22

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Solution

The fourth proportional to 3,638.59, 5,458.61 and 1,173.22 is: 1,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.59 : 5,458.61 = 1,173.22 : x
  2. Step 2: Convert to fraction form
    3,638.59/5,458.61 = 1,173.22/x
  3. Step 3: Cross multiply
    3,638.59x = 5,458.61 × 1,173.22
  4. Step 4: Simplify right side
    3,638.59x = 6,404,150.42
  5. Step 5: Solve for x
    x = 6,404,150.42/3,638.59
  6. Step 6: Final answer
    x = 1,760.06

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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.