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Finding the Fourth Proportional to 5,576.50, 8,365.02 and 2,114.02

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Solution

The fourth proportional to 5,576.50, 8,365.02 and 2,114.02 is: 3,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.50 : 8,365.02 = 2,114.02 : x
  2. Step 2: Convert to fraction form
    5,576.50/8,365.02 = 2,114.02/x
  3. Step 3: Cross multiply
    5,576.50x = 8,365.02 × 2,114.02
  4. Step 4: Simplify right side
    5,576.50x = 17,683,819.58
  5. Step 5: Solve for x
    x = 17,683,819.58/5,576.50
  6. Step 6: Final answer
    x = 3,171.13

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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.