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Finding the Fourth Proportional to 5,090.88, 7,649.10 and 3,242.84

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Solution

The fourth proportional to 5,090.88, 7,649.10 and 3,242.84 is: 4,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.88 : 7,649.10 = 3,242.84 : x
  2. Step 2: Convert to fraction form
    5,090.88/7,649.10 = 3,242.84/x
  3. Step 3: Cross multiply
    5,090.88x = 7,649.10 × 3,242.84
  4. Step 4: Simplify right side
    5,090.88x = 24,804,807.44
  5. Step 5: Solve for x
    x = 24,804,807.44/5,090.88
  6. Step 6: Final answer
    x = 4,872.40

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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.