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Finding the Fourth Proportional to 4,162.80, 6,232.05 and 4,041.30

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Solution

The fourth proportional to 4,162.80, 6,232.05 and 4,041.30 is: 6,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.80 : 6,232.05 = 4,041.30 : x
  2. Step 2: Convert to fraction form
    4,162.80/6,232.05 = 4,041.30/x
  3. Step 3: Cross multiply
    4,162.80x = 6,232.05 × 4,041.30
  4. Step 4: Simplify right side
    4,162.80x = 25,185,583.67
  5. Step 5: Solve for x
    x = 25,185,583.67/4,162.80
  6. Step 6: Final answer
    x = 6,050.15

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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.