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Finding the Fourth Proportional to 3,215.70, 4,511.70 and 3,215.70

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Solution

The fourth proportional to 3,215.70, 4,511.70 and 3,215.70 is: 4,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.70 : 4,511.70 = 3,215.70 : x
  2. Step 2: Convert to fraction form
    3,215.70/4,511.70 = 3,215.70/x
  3. Step 3: Cross multiply
    3,215.70x = 4,511.70 × 3,215.70
  4. Step 4: Simplify right side
    3,215.70x = 14,508,273.69
  5. Step 5: Solve for x
    x = 14,508,273.69/3,215.70
  6. Step 6: Final answer
    x = 4,511.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.