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Finding the Fourth Proportional to 3,638.79, 5,458.32 and 1,173.87

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Solution

The fourth proportional to 3,638.79, 5,458.32 and 1,173.87 is: 1,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.79 : 5,458.32 = 1,173.87 : x
  2. Step 2: Convert to fraction form
    3,638.79/5,458.32 = 1,173.87/x
  3. Step 3: Cross multiply
    3,638.79x = 5,458.32 × 1,173.87
  4. Step 4: Simplify right side
    3,638.79x = 6,407,358.10
  5. Step 5: Solve for x
    x = 6,407,358.10/3,638.79
  6. Step 6: Final answer
    x = 1,760.85

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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.