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Finding the Fourth Proportional to 5,894.62, 8,134.64 and 3,242.05

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Solution

The fourth proportional to 5,894.62, 8,134.64 and 3,242.05 is: 4,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.62 : 8,134.64 = 3,242.05 : x
  2. Step 2: Convert to fraction form
    5,894.62/8,134.64 = 3,242.05/x
  3. Step 3: Cross multiply
    5,894.62x = 8,134.64 × 3,242.05
  4. Step 4: Simplify right side
    5,894.62x = 26,372,909.61
  5. Step 5: Solve for x
    x = 26,372,909.61/5,894.62
  6. Step 6: Final answer
    x = 4,474.06

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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.