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Finding the Fourth Proportional to 5,223.96, 7,209.06 and 2,866.14

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Solution

The fourth proportional to 5,223.96, 7,209.06 and 2,866.14 is: 3,955.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.96 : 7,209.06 = 2,866.14 : x
  2. Step 2: Convert to fraction form
    5,223.96/7,209.06 = 2,866.14/x
  3. Step 3: Cross multiply
    5,223.96x = 7,209.06 × 2,866.14
  4. Step 4: Simplify right side
    5,223.96x = 20,662,175.23
  5. Step 5: Solve for x
    x = 20,662,175.23/5,223.96
  6. Step 6: Final answer
    x = 3,955.27

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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.