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Finding the Fourth Proportional to 3,780.99, 5,217.17 and 2,102.40

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Solution

The fourth proportional to 3,780.99, 5,217.17 and 2,102.40 is: 2,900.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.99 : 5,217.17 = 2,102.40 : x
  2. Step 2: Convert to fraction form
    3,780.99/5,217.17 = 2,102.40/x
  3. Step 3: Cross multiply
    3,780.99x = 5,217.17 × 2,102.40
  4. Step 4: Simplify right side
    3,780.99x = 10,968,567.70
  5. Step 5: Solve for x
    x = 10,968,567.70/3,780.99
  6. Step 6: Final answer
    x = 2,900.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.