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Finding the Fourth Proportional to 5,155.94, 7,723.96 and 3,077.60

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Solution

The fourth proportional to 5,155.94, 7,723.96 and 3,077.60 is: 4,610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.94 : 7,723.96 = 3,077.60 : x
  2. Step 2: Convert to fraction form
    5,155.94/7,723.96 = 3,077.60/x
  3. Step 3: Cross multiply
    5,155.94x = 7,723.96 × 3,077.60
  4. Step 4: Simplify right side
    5,155.94x = 23,771,270.91
  5. Step 5: Solve for x
    x = 23,771,270.91/5,155.94
  6. Step 6: Final answer
    x = 4,610.46

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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.