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Finding the Fourth Proportional to 5,864.92, 8,089.64 and 3,627.90

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Solution

The fourth proportional to 5,864.92, 8,089.64 and 3,627.90 is: 5,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.92 : 8,089.64 = 3,627.90 : x
  2. Step 2: Convert to fraction form
    5,864.92/8,089.64 = 3,627.90/x
  3. Step 3: Cross multiply
    5,864.92x = 8,089.64 × 3,627.90
  4. Step 4: Simplify right side
    5,864.92x = 29,348,389.43
  5. Step 5: Solve for x
    x = 29,348,389.43/5,864.92
  6. Step 6: Final answer
    x = 5,004.06

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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.