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Finding the Fourth Proportional to 5,709.85, 8,565.30 and 2,246.29

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Solution

The fourth proportional to 5,709.85, 8,565.30 and 2,246.29 is: 3,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.85 : 8,565.30 = 2,246.29 : x
  2. Step 2: Convert to fraction form
    5,709.85/8,565.30 = 2,246.29/x
  3. Step 3: Cross multiply
    5,709.85x = 8,565.30 × 2,246.29
  4. Step 4: Simplify right side
    5,709.85x = 19,240,147.74
  5. Step 5: Solve for x
    x = 19,240,147.74/5,709.85
  6. Step 6: Final answer
    x = 3,369.64

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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.