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Finding the Fourth Proportional to 3,164.70, 4,738.95 and 2,511.30

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Solution

The fourth proportional to 3,164.70, 4,738.95 and 2,511.30 is: 3,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.70 : 4,738.95 = 2,511.30 : x
  2. Step 2: Convert to fraction form
    3,164.70/4,738.95 = 2,511.30/x
  3. Step 3: Cross multiply
    3,164.70x = 4,738.95 × 2,511.30
  4. Step 4: Simplify right side
    3,164.70x = 11,900,925.14
  5. Step 5: Solve for x
    x = 11,900,925.14/3,164.70
  6. Step 6: Final answer
    x = 3,760.52

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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.