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Finding the Fourth Proportional to 3,455.64, 5,158.40 and 3,198.69

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Solution

The fourth proportional to 3,455.64, 5,158.40 and 3,198.69 is: 4,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.64 : 5,158.40 = 3,198.69 : x
  2. Step 2: Convert to fraction form
    3,455.64/5,158.40 = 3,198.69/x
  3. Step 3: Cross multiply
    3,455.64x = 5,158.40 × 3,198.69
  4. Step 4: Simplify right side
    3,455.64x = 16,500,106.50
  5. Step 5: Solve for x
    x = 16,500,106.50/3,455.64
  6. Step 6: Final answer
    x = 4,774.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.