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Finding the Fourth Proportional to 5,325.16, 7,346.80 and 3,200.80

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Solution

The fourth proportional to 5,325.16, 7,346.80 and 3,200.80 is: 4,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.16 : 7,346.80 = 3,200.80 : x
  2. Step 2: Convert to fraction form
    5,325.16/7,346.80 = 3,200.80/x
  3. Step 3: Cross multiply
    5,325.16x = 7,346.80 × 3,200.80
  4. Step 4: Simplify right side
    5,325.16x = 23,515,637.44
  5. Step 5: Solve for x
    x = 23,515,637.44/5,325.16
  6. Step 6: Final answer
    x = 4,415.95

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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.