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Finding the Fourth Proportional to 3,712.94, 5,124.30 and 2,141

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Solution

The fourth proportional to 3,712.94, 5,124.30 and 2,141 is: 2,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.94 : 5,124.30 = 2,141 : x
  2. Step 2: Convert to fraction form
    3,712.94/5,124.30 = 2,141/x
  3. Step 3: Cross multiply
    3,712.94x = 5,124.30 × 2,141
  4. Step 4: Simplify right side
    3,712.94x = 10,971,126.30
  5. Step 5: Solve for x
    x = 10,971,126.30/3,712.94
  6. Step 6: Final answer
    x = 2,954.84

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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.