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Finding the Fourth Proportional to 3,756.40, 5,638 and 2,002.87

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Solution

The fourth proportional to 3,756.40, 5,638 and 2,002.87 is: 3,006.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.40 : 5,638 = 2,002.87 : x
  2. Step 2: Convert to fraction form
    3,756.40/5,638 = 2,002.87/x
  3. Step 3: Cross multiply
    3,756.40x = 5,638 × 2,002.87
  4. Step 4: Simplify right side
    3,756.40x = 11,292,181.06
  5. Step 5: Solve for x
    x = 11,292,181.06/3,756.40
  6. Step 6: Final answer
    x = 3,006.12

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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.