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Finding the Fourth Proportional to 5,909.50, 8,155 and 3,257.16

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Solution

The fourth proportional to 5,909.50, 8,155 and 3,257.16 is: 4,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.50 : 8,155 = 3,257.16 : x
  2. Step 2: Convert to fraction form
    5,909.50/8,155 = 3,257.16/x
  3. Step 3: Cross multiply
    5,909.50x = 8,155 × 3,257.16
  4. Step 4: Simplify right side
    5,909.50x = 26,562,139.80
  5. Step 5: Solve for x
    x = 26,562,139.80/5,909.50
  6. Step 6: Final answer
    x = 4,494.82

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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.