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Finding the Fourth Proportional to 5,945.50, 8,918.25 and 1,562.95

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Solution

The fourth proportional to 5,945.50, 8,918.25 and 1,562.95 is: 2,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.50 : 8,918.25 = 1,562.95 : x
  2. Step 2: Convert to fraction form
    5,945.50/8,918.25 = 1,562.95/x
  3. Step 3: Cross multiply
    5,945.50x = 8,918.25 × 1,562.95
  4. Step 4: Simplify right side
    5,945.50x = 13,938,750.68
  5. Step 5: Solve for x
    x = 13,938,750.68/5,945.50
  6. Step 6: Final answer
    x = 2,344.42

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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.