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Finding the Fourth Proportional to 4,550.95, 6,829.08 and 1,918.30

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Solution

The fourth proportional to 4,550.95, 6,829.08 and 1,918.30 is: 2,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.95 : 6,829.08 = 1,918.30 : x
  2. Step 2: Convert to fraction form
    4,550.95/6,829.08 = 1,918.30/x
  3. Step 3: Cross multiply
    4,550.95x = 6,829.08 × 1,918.30
  4. Step 4: Simplify right side
    4,550.95x = 13,100,197.88
  5. Step 5: Solve for x
    x = 13,100,197.88/4,550.95
  6. Step 6: Final answer
    x = 2,878.56

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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.