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Finding the Fourth Proportional to 5,787, 8,000.46 and 5,542.20

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Solution

The fourth proportional to 5,787, 8,000.46 and 5,542.20 is: 7,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787 : 8,000.46 = 5,542.20 : x
  2. Step 2: Convert to fraction form
    5,787/8,000.46 = 5,542.20/x
  3. Step 3: Cross multiply
    5,787x = 8,000.46 × 5,542.20
  4. Step 4: Simplify right side
    5,787x = 44,340,149.41
  5. Step 5: Solve for x
    x = 44,340,149.41/5,787
  6. Step 6: Final answer
    x = 7,662.03

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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.