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Finding the Fourth Proportional to 5,772.81, 7,966.49 and 3,120.21

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Solution

The fourth proportional to 5,772.81, 7,966.49 and 3,120.21 is: 4,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.81 : 7,966.49 = 3,120.21 : x
  2. Step 2: Convert to fraction form
    5,772.81/7,966.49 = 3,120.21/x
  3. Step 3: Cross multiply
    5,772.81x = 7,966.49 × 3,120.21
  4. Step 4: Simplify right side
    5,772.81x = 24,857,106.16
  5. Step 5: Solve for x
    x = 24,857,106.16/5,772.81
  6. Step 6: Final answer
    x = 4,305.89

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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.