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Finding the Fourth Proportional to 3,586.88, 5,379.71 and 954.42

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Solution

The fourth proportional to 3,586.88, 5,379.71 and 954.42 is: 1,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.88 : 5,379.71 = 954.42 : x
  2. Step 2: Convert to fraction form
    3,586.88/5,379.71 = 954.42/x
  3. Step 3: Cross multiply
    3,586.88x = 5,379.71 × 954.42
  4. Step 4: Simplify right side
    3,586.88x = 5,134,498.05
  5. Step 5: Solve for x
    x = 5,134,498.05/3,586.88
  6. Step 6: Final answer
    x = 1,431.47

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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.