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Finding the Fourth Proportional to 5,945.69, 8,919.09 and 1,563.15

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Solution

The fourth proportional to 5,945.69, 8,919.09 and 1,563.15 is: 2,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.69 : 8,919.09 = 1,563.15 : x
  2. Step 2: Convert to fraction form
    5,945.69/8,919.09 = 1,563.15/x
  3. Step 3: Cross multiply
    5,945.69x = 8,919.09 × 1,563.15
  4. Step 4: Simplify right side
    5,945.69x = 13,941,875.53
  5. Step 5: Solve for x
    x = 13,941,875.53/5,945.69
  6. Step 6: Final answer
    x = 2,344.87

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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.