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Finding the Fourth Proportional to 5,829.62, 8,730.77 and 4,076.37

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Solution

The fourth proportional to 5,829.62, 8,730.77 and 4,076.37 is: 6,105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.62 : 8,730.77 = 4,076.37 : x
  2. Step 2: Convert to fraction form
    5,829.62/8,730.77 = 4,076.37/x
  3. Step 3: Cross multiply
    5,829.62x = 8,730.77 × 4,076.37
  4. Step 4: Simplify right side
    5,829.62x = 35,589,828.52
  5. Step 5: Solve for x
    x = 35,589,828.52/5,829.62
  6. Step 6: Final answer
    x = 6,105.00

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