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Finding the Fourth Proportional to 5,210.75, 7,813.37 and 3,909.48

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Solution

The fourth proportional to 5,210.75, 7,813.37 and 3,909.48 is: 5,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.75 : 7,813.37 = 3,909.48 : x
  2. Step 2: Convert to fraction form
    5,210.75/7,813.37 = 3,909.48/x
  3. Step 3: Cross multiply
    5,210.75x = 7,813.37 × 3,909.48
  4. Step 4: Simplify right side
    5,210.75x = 30,546,194.20
  5. Step 5: Solve for x
    x = 30,546,194.20/5,210.75
  6. Step 6: Final answer
    x = 5,862.15

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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.