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Finding the Fourth Proportional to 4,090.88, 6,129.24 and 3,219.02

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Solution

The fourth proportional to 4,090.88, 6,129.24 and 3,219.02 is: 4,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.88 : 6,129.24 = 3,219.02 : x
  2. Step 2: Convert to fraction form
    4,090.88/6,129.24 = 3,219.02/x
  3. Step 3: Cross multiply
    4,090.88x = 6,129.24 × 3,219.02
  4. Step 4: Simplify right side
    4,090.88x = 19,730,146.14
  5. Step 5: Solve for x
    x = 19,730,146.14/4,090.88
  6. Step 6: Final answer
    x = 4,822.96

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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.