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Finding the Fourth Proportional to 3,780.51, 5,217.12 and 2,102.07

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Solution

The fourth proportional to 3,780.51, 5,217.12 and 2,102.07 is: 2,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.51 : 5,217.12 = 2,102.07 : x
  2. Step 2: Convert to fraction form
    3,780.51/5,217.12 = 2,102.07/x
  3. Step 3: Cross multiply
    3,780.51x = 5,217.12 × 2,102.07
  4. Step 4: Simplify right side
    3,780.51x = 10,966,751.44
  5. Step 5: Solve for x
    x = 10,966,751.44/3,780.51
  6. Step 6: Final answer
    x = 2,900.87

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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.