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Finding the Fourth Proportional to 3,458.80, 5,188.20 and 3,113.20

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Solution

The fourth proportional to 3,458.80, 5,188.20 and 3,113.20 is: 4,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.80 : 5,188.20 = 3,113.20 : x
  2. Step 2: Convert to fraction form
    3,458.80/5,188.20 = 3,113.20/x
  3. Step 3: Cross multiply
    3,458.80x = 5,188.20 × 3,113.20
  4. Step 4: Simplify right side
    3,458.80x = 16,151,904.24
  5. Step 5: Solve for x
    x = 16,151,904.24/3,458.80
  6. Step 6: Final answer
    x = 4,669.80

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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.