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Finding the Fourth Proportional to 5,586, 8,380.20 and 1,888.32

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Solution

The fourth proportional to 5,586, 8,380.20 and 1,888.32 is: 2,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586 : 8,380.20 = 1,888.32 : x
  2. Step 2: Convert to fraction form
    5,586/8,380.20 = 1,888.32/x
  3. Step 3: Cross multiply
    5,586x = 8,380.20 × 1,888.32
  4. Step 4: Simplify right side
    5,586x = 15,824,499.26
  5. Step 5: Solve for x
    x = 15,824,499.26/5,586
  6. Step 6: Final answer
    x = 2,832.89

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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.