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Finding the Fourth Proportional to 3,124.47, 4,310.64 and 1,912.74

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Solution

The fourth proportional to 3,124.47, 4,310.64 and 1,912.74 is: 2,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.47 : 4,310.64 = 1,912.74 : x
  2. Step 2: Convert to fraction form
    3,124.47/4,310.64 = 1,912.74/x
  3. Step 3: Cross multiply
    3,124.47x = 4,310.64 × 1,912.74
  4. Step 4: Simplify right side
    3,124.47x = 8,245,133.55
  5. Step 5: Solve for x
    x = 8,245,133.55/3,124.47
  6. Step 6: Final answer
    x = 2,638.89

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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.