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Finding the Fourth Proportional to 5,807.20, 8,701.20 and 5,461.60

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Solution

The fourth proportional to 5,807.20, 8,701.20 and 5,461.60 is: 8,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.20 : 8,701.20 = 5,461.60 : x
  2. Step 2: Convert to fraction form
    5,807.20/8,701.20 = 5,461.60/x
  3. Step 3: Cross multiply
    5,807.20x = 8,701.20 × 5,461.60
  4. Step 4: Simplify right side
    5,807.20x = 47,522,473.92
  5. Step 5: Solve for x
    x = 47,522,473.92/5,807.20
  6. Step 6: Final answer
    x = 8,183.37

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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.