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Finding the Fourth Proportional to 5,090.47, 7,638 and 3,241.11

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Solution

The fourth proportional to 5,090.47, 7,638 and 3,241.11 is: 4,863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.47 : 7,638 = 3,241.11 : x
  2. Step 2: Convert to fraction form
    5,090.47/7,638 = 3,241.11/x
  3. Step 3: Cross multiply
    5,090.47x = 7,638 × 3,241.11
  4. Step 4: Simplify right side
    5,090.47x = 24,755,598.18
  5. Step 5: Solve for x
    x = 24,755,598.18/5,090.47
  6. Step 6: Final answer
    x = 4,863.13

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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.