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Finding the Fourth Proportional to 5,020.56, 6,930.66 and 3,586

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Solution

The fourth proportional to 5,020.56, 6,930.66 and 3,586 is: 4,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,020.56 : 6,930.66 = 3,586 : x
  2. Step 2: Convert to fraction form
    5,020.56/6,930.66 = 3,586/x
  3. Step 3: Cross multiply
    5,020.56x = 6,930.66 × 3,586
  4. Step 4: Simplify right side
    5,020.56x = 24,853,346.76
  5. Step 5: Solve for x
    x = 24,853,346.76/5,020.56
  6. Step 6: Final answer
    x = 4,950.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.