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Finding the Fourth Proportional to 5,576, 8,365.44 and 1,627.16

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Solution

The fourth proportional to 5,576, 8,365.44 and 1,627.16 is: 2,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576 : 8,365.44 = 1,627.16 : x
  2. Step 2: Convert to fraction form
    5,576/8,365.44 = 1,627.16/x
  3. Step 3: Cross multiply
    5,576x = 8,365.44 × 1,627.16
  4. Step 4: Simplify right side
    5,576x = 13,611,909.35
  5. Step 5: Solve for x
    x = 13,611,909.35/5,576
  6. Step 6: Final answer
    x = 2,441.16

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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.