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Finding the Fourth Proportional to 5,709.25, 8,565.32 and 1,605.25

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Solution

The fourth proportional to 5,709.25, 8,565.32 and 1,605.25 is: 2,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.25 : 8,565.32 = 1,605.25 : x
  2. Step 2: Convert to fraction form
    5,709.25/8,565.32 = 1,605.25/x
  3. Step 3: Cross multiply
    5,709.25x = 8,565.32 × 1,605.25
  4. Step 4: Simplify right side
    5,709.25x = 13,749,479.93
  5. Step 5: Solve for x
    x = 13,749,479.93/5,709.25
  6. Step 6: Final answer
    x = 2,408.28

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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.