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Finding the Fourth Proportional to 5,563.42, 8,344.49 and 1,403.43

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Solution

The fourth proportional to 5,563.42, 8,344.49 and 1,403.43 is: 2,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.42 : 8,344.49 = 1,403.43 : x
  2. Step 2: Convert to fraction form
    5,563.42/8,344.49 = 1,403.43/x
  3. Step 3: Cross multiply
    5,563.42x = 8,344.49 × 1,403.43
  4. Step 4: Simplify right side
    5,563.42x = 11,710,869.29
  5. Step 5: Solve for x
    x = 11,710,869.29/5,563.42
  6. Step 6: Final answer
    x = 2,104.98

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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.