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Finding the Fourth Proportional to 3,200.06, 4,799.67 and 1,008.80

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Solution

The fourth proportional to 3,200.06, 4,799.67 and 1,008.80 is: 1,513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.06 : 4,799.67 = 1,008.80 : x
  2. Step 2: Convert to fraction form
    3,200.06/4,799.67 = 1,008.80/x
  3. Step 3: Cross multiply
    3,200.06x = 4,799.67 × 1,008.80
  4. Step 4: Simplify right side
    3,200.06x = 4,841,907.10
  5. Step 5: Solve for x
    x = 4,841,907.10/3,200.06
  6. Step 6: Final answer
    x = 1,513.07

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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.