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Finding the Fourth Proportional to 5,666, 8,502.60 and 2,930

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Solution

The fourth proportional to 5,666, 8,502.60 and 2,930 is: 4,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666 : 8,502.60 = 2,930 : x
  2. Step 2: Convert to fraction form
    5,666/8,502.60 = 2,930/x
  3. Step 3: Cross multiply
    5,666x = 8,502.60 × 2,930
  4. Step 4: Simplify right side
    5,666x = 24,912,618
  5. Step 5: Solve for x
    x = 24,912,618/5,666
  6. Step 6: Final answer
    x = 4,396.86

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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.