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Finding the Fourth Proportional to 6,051.08, 8,349 and 3,692.36

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Solution

The fourth proportional to 6,051.08, 8,349 and 3,692.36 is: 5,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.08 : 8,349 = 3,692.36 : x
  2. Step 2: Convert to fraction form
    6,051.08/8,349 = 3,692.36/x
  3. Step 3: Cross multiply
    6,051.08x = 8,349 × 3,692.36
  4. Step 4: Simplify right side
    6,051.08x = 30,827,513.64
  5. Step 5: Solve for x
    x = 30,827,513.64/6,051.08
  6. Step 6: Final answer
    x = 5,094.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.