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Finding the Fourth Proportional to 5,709.50, 8,564.26 and 1,605.50

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Solution

The fourth proportional to 5,709.50, 8,564.26 and 1,605.50 is: 2,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.50 : 8,564.26 = 1,605.50 : x
  2. Step 2: Convert to fraction form
    5,709.50/8,564.26 = 1,605.50/x
  3. Step 3: Cross multiply
    5,709.50x = 8,564.26 × 1,605.50
  4. Step 4: Simplify right side
    5,709.50x = 13,749,919.43
  5. Step 5: Solve for x
    x = 13,749,919.43/5,709.50
  6. Step 6: Final answer
    x = 2,408.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.