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Finding the Fourth Proportional to 5,310.81, 7,966.32 and 1,933.49

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Solution

The fourth proportional to 5,310.81, 7,966.32 and 1,933.49 is: 2,900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.81 : 7,966.32 = 1,933.49 : x
  2. Step 2: Convert to fraction form
    5,310.81/7,966.32 = 1,933.49/x
  3. Step 3: Cross multiply
    5,310.81x = 7,966.32 × 1,933.49
  4. Step 4: Simplify right side
    5,310.81x = 15,402,760.23
  5. Step 5: Solve for x
    x = 15,402,760.23/5,310.81
  6. Step 6: Final answer
    x = 2,900.27

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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.