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Finding the Fourth Proportional to 5,604.59, 8,408.13 and 1,709.30

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Solution

The fourth proportional to 5,604.59, 8,408.13 and 1,709.30 is: 2,564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.59 : 8,408.13 = 1,709.30 : x
  2. Step 2: Convert to fraction form
    5,604.59/8,408.13 = 1,709.30/x
  3. Step 3: Cross multiply
    5,604.59x = 8,408.13 × 1,709.30
  4. Step 4: Simplify right side
    5,604.59x = 14,372,016.61
  5. Step 5: Solve for x
    x = 14,372,016.61/5,604.59
  6. Step 6: Final answer
    x = 2,564.33

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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.