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Finding the Fourth Proportional to 6,458.63, 9,692.20 and 3,538.99

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Solution

The fourth proportional to 6,458.63, 9,692.20 and 3,538.99 is: 5,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.63 : 9,692.20 = 3,538.99 : x
  2. Step 2: Convert to fraction form
    6,458.63/9,692.20 = 3,538.99/x
  3. Step 3: Cross multiply
    6,458.63x = 9,692.20 × 3,538.99
  4. Step 4: Simplify right side
    6,458.63x = 34,300,550.42
  5. Step 5: Solve for x
    x = 34,300,550.42/6,458.63
  6. Step 6: Final answer
    x = 5,310.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.