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Finding the Fourth Proportional to 5,455.76, 8,184.46 and 1,945.50

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Solution

The fourth proportional to 5,455.76, 8,184.46 and 1,945.50 is: 2,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.76 : 8,184.46 = 1,945.50 : x
  2. Step 2: Convert to fraction form
    5,455.76/8,184.46 = 1,945.50/x
  3. Step 3: Cross multiply
    5,455.76x = 8,184.46 × 1,945.50
  4. Step 4: Simplify right side
    5,455.76x = 15,922,866.93
  5. Step 5: Solve for x
    x = 15,922,866.93/5,455.76
  6. Step 6: Final answer
    x = 2,918.54

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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.