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Finding the Fourth Proportional to 3,668.90, 5,143.75 and 3,668.90

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Solution

The fourth proportional to 3,668.90, 5,143.75 and 3,668.90 is: 5,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.90 : 5,143.75 = 3,668.90 : x
  2. Step 2: Convert to fraction form
    3,668.90/5,143.75 = 3,668.90/x
  3. Step 3: Cross multiply
    3,668.90x = 5,143.75 × 3,668.90
  4. Step 4: Simplify right side
    3,668.90x = 18,871,904.38
  5. Step 5: Solve for x
    x = 18,871,904.38/3,668.90
  6. Step 6: Final answer
    x = 5,143.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.