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Finding the Fourth Proportional to 5,233.96, 7,223.88 and 3,109.96

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Solution

The fourth proportional to 5,233.96, 7,223.88 and 3,109.96 is: 4,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.96 : 7,223.88 = 3,109.96 : x
  2. Step 2: Convert to fraction form
    5,233.96/7,223.88 = 3,109.96/x
  3. Step 3: Cross multiply
    5,233.96x = 7,223.88 × 3,109.96
  4. Step 4: Simplify right side
    5,233.96x = 22,465,977.84
  5. Step 5: Solve for x
    x = 22,465,977.84/5,233.96
  6. Step 6: Final answer
    x = 4,292.35

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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.