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Finding the Fourth Proportional to 3,586.88, 5,380.23 and 954.39

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Solution

The fourth proportional to 3,586.88, 5,380.23 and 954.39 is: 1,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.88 : 5,380.23 = 954.39 : x
  2. Step 2: Convert to fraction form
    3,586.88/5,380.23 = 954.39/x
  3. Step 3: Cross multiply
    3,586.88x = 5,380.23 × 954.39
  4. Step 4: Simplify right side
    3,586.88x = 5,134,837.71
  5. Step 5: Solve for x
    x = 5,134,837.71/3,586.88
  6. Step 6: Final answer
    x = 1,431.56

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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.