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Finding the Fourth Proportional to 5,143.88, 7,712.62 and 2,367

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Solution

The fourth proportional to 5,143.88, 7,712.62 and 2,367 is: 3,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.88 : 7,712.62 = 2,367 : x
  2. Step 2: Convert to fraction form
    5,143.88/7,712.62 = 2,367/x
  3. Step 3: Cross multiply
    5,143.88x = 7,712.62 × 2,367
  4. Step 4: Simplify right side
    5,143.88x = 18,255,771.54
  5. Step 5: Solve for x
    x = 18,255,771.54/5,143.88
  6. Step 6: Final answer
    x = 3,549.03

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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.