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Finding the Fourth Proportional to 5,200.16, 7,805.64 and 3,480.80

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Solution

The fourth proportional to 5,200.16, 7,805.64 and 3,480.80 is: 5,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.16 : 7,805.64 = 3,480.80 : x
  2. Step 2: Convert to fraction form
    5,200.16/7,805.64 = 3,480.80/x
  3. Step 3: Cross multiply
    5,200.16x = 7,805.64 × 3,480.80
  4. Step 4: Simplify right side
    5,200.16x = 27,169,871.71
  5. Step 5: Solve for x
    x = 27,169,871.71/5,200.16
  6. Step 6: Final answer
    x = 5,224.81

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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.