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Finding the Fourth Proportional to 5,143.85, 7,709.93 and 2,023.28

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Solution

The fourth proportional to 5,143.85, 7,709.93 and 2,023.28 is: 3,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.85 : 7,709.93 = 2,023.28 : x
  2. Step 2: Convert to fraction form
    5,143.85/7,709.93 = 2,023.28/x
  3. Step 3: Cross multiply
    5,143.85x = 7,709.93 × 2,023.28
  4. Step 4: Simplify right side
    5,143.85x = 15,599,346.38
  5. Step 5: Solve for x
    x = 15,599,346.38/5,143.85
  6. Step 6: Final answer
    x = 3,032.62

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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.