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Finding the Fourth Proportional to 3,100.70, 4,672.36 and 2,564.88

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Solution

The fourth proportional to 3,100.70, 4,672.36 and 2,564.88 is: 3,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.70 : 4,672.36 = 2,564.88 : x
  2. Step 2: Convert to fraction form
    3,100.70/4,672.36 = 2,564.88/x
  3. Step 3: Cross multiply
    3,100.70x = 4,672.36 × 2,564.88
  4. Step 4: Simplify right side
    3,100.70x = 11,984,042.72
  5. Step 5: Solve for x
    x = 11,984,042.72/3,100.70
  6. Step 6: Final answer
    x = 3,864.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.