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Finding the Fourth Proportional to 5,909.65, 8,155.69 and 3,257.06

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Solution

The fourth proportional to 5,909.65, 8,155.69 and 3,257.06 is: 4,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.65 : 8,155.69 = 3,257.06 : x
  2. Step 2: Convert to fraction form
    5,909.65/8,155.69 = 3,257.06/x
  3. Step 3: Cross multiply
    5,909.65x = 8,155.69 × 3,257.06
  4. Step 4: Simplify right side
    5,909.65x = 26,563,522.75
  5. Step 5: Solve for x
    x = 26,563,522.75/5,909.65
  6. Step 6: Final answer
    x = 4,494.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.