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Finding the Fourth Proportional to 4,605.27, 6,905.99 and 2,847.70

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Solution

The fourth proportional to 4,605.27, 6,905.99 and 2,847.70 is: 4,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.27 : 6,905.99 = 2,847.70 : x
  2. Step 2: Convert to fraction form
    4,605.27/6,905.99 = 2,847.70/x
  3. Step 3: Cross multiply
    4,605.27x = 6,905.99 × 2,847.70
  4. Step 4: Simplify right side
    4,605.27x = 19,666,177.58
  5. Step 5: Solve for x
    x = 19,666,177.58/4,605.27
  6. Step 6: Final answer
    x = 4,270.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.