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Finding the Fourth Proportional to 5,371.60, 8,048.64 and 5,166.60

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Solution

The fourth proportional to 5,371.60, 8,048.64 and 5,166.60 is: 7,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.60 : 8,048.64 = 5,166.60 : x
  2. Step 2: Convert to fraction form
    5,371.60/8,048.64 = 5,166.60/x
  3. Step 3: Cross multiply
    5,371.60x = 8,048.64 × 5,166.60
  4. Step 4: Simplify right side
    5,371.60x = 41,584,103.42
  5. Step 5: Solve for x
    x = 41,584,103.42/5,371.60
  6. Step 6: Final answer
    x = 7,741.47

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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.