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Finding the Fourth Proportional to 5,078.57, 7,009.23 and 2,982.29

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Solution

The fourth proportional to 5,078.57, 7,009.23 and 2,982.29 is: 4,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.57 : 7,009.23 = 2,982.29 : x
  2. Step 2: Convert to fraction form
    5,078.57/7,009.23 = 2,982.29/x
  3. Step 3: Cross multiply
    5,078.57x = 7,009.23 × 2,982.29
  4. Step 4: Simplify right side
    5,078.57x = 20,903,506.58
  5. Step 5: Solve for x
    x = 20,903,506.58/5,078.57
  6. Step 6: Final answer
    x = 4,116.03

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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.