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Finding the Fourth Proportional to 5,962.12, 8,230.04 and 4,474.35

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Solution

The fourth proportional to 5,962.12, 8,230.04 and 4,474.35 is: 6,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.12 : 8,230.04 = 4,474.35 : x
  2. Step 2: Convert to fraction form
    5,962.12/8,230.04 = 4,474.35/x
  3. Step 3: Cross multiply
    5,962.12x = 8,230.04 × 4,474.35
  4. Step 4: Simplify right side
    5,962.12x = 36,824,090.66
  5. Step 5: Solve for x
    x = 36,824,090.66/5,962.12
  6. Step 6: Final answer
    x = 6,176.34

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