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Finding the Fourth Proportional to 3,803.16, 5,707.71 and 1,954.20

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Solution

The fourth proportional to 3,803.16, 5,707.71 and 1,954.20 is: 2,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.16 : 5,707.71 = 1,954.20 : x
  2. Step 2: Convert to fraction form
    3,803.16/5,707.71 = 1,954.20/x
  3. Step 3: Cross multiply
    3,803.16x = 5,707.71 × 1,954.20
  4. Step 4: Simplify right side
    3,803.16x = 11,154,006.88
  5. Step 5: Solve for x
    x = 11,154,006.88/3,803.16
  6. Step 6: Final answer
    x = 2,932.83

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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.