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Finding the Fourth Proportional to 5,174.66, 7,743.52 and 4,483.70

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Solution

The fourth proportional to 5,174.66, 7,743.52 and 4,483.70 is: 6,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.66 : 7,743.52 = 4,483.70 : x
  2. Step 2: Convert to fraction form
    5,174.66/7,743.52 = 4,483.70/x
  3. Step 3: Cross multiply
    5,174.66x = 7,743.52 × 4,483.70
  4. Step 4: Simplify right side
    5,174.66x = 34,719,559.49
  5. Step 5: Solve for x
    x = 34,719,559.49/5,174.66
  6. Step 6: Final answer
    x = 6,709.54

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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.