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Finding the Fourth Proportional to 3,768.32, 5,655.93 and 1,920.76

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Solution

The fourth proportional to 3,768.32, 5,655.93 and 1,920.76 is: 2,882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.32 : 5,655.93 = 1,920.76 : x
  2. Step 2: Convert to fraction form
    3,768.32/5,655.93 = 1,920.76/x
  3. Step 3: Cross multiply
    3,768.32x = 5,655.93 × 1,920.76
  4. Step 4: Simplify right side
    3,768.32x = 10,863,684.11
  5. Step 5: Solve for x
    x = 10,863,684.11/3,768.32
  6. Step 6: Final answer
    x = 2,882.90

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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.