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Finding the Fourth Proportional to 5,890.64, 8,824.25 and 3,551.27

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Solution

The fourth proportional to 5,890.64, 8,824.25 and 3,551.27 is: 5,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.64 : 8,824.25 = 3,551.27 : x
  2. Step 2: Convert to fraction form
    5,890.64/8,824.25 = 3,551.27/x
  3. Step 3: Cross multiply
    5,890.64x = 8,824.25 × 3,551.27
  4. Step 4: Simplify right side
    5,890.64x = 31,337,232.42
  5. Step 5: Solve for x
    x = 31,337,232.42/5,890.64
  6. Step 6: Final answer
    x = 5,319.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.