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Finding the Fourth Proportional to 5,483.70, 8,182.49 and 5,148.97

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Solution

The fourth proportional to 5,483.70, 8,182.49 and 5,148.97 is: 7,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.70 : 8,182.49 = 5,148.97 : x
  2. Step 2: Convert to fraction form
    5,483.70/8,182.49 = 5,148.97/x
  3. Step 3: Cross multiply
    5,483.70x = 8,182.49 × 5,148.97
  4. Step 4: Simplify right side
    5,483.70x = 42,131,349.33
  5. Step 5: Solve for x
    x = 42,131,349.33/5,483.70
  6. Step 6: Final answer
    x = 7,683.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.