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Finding the Fourth Proportional to 4,176.54, 5,802.30 and 4,138.47

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Solution

The fourth proportional to 4,176.54, 5,802.30 and 4,138.47 is: 5,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.54 : 5,802.30 = 4,138.47 : x
  2. Step 2: Convert to fraction form
    4,176.54/5,802.30 = 4,138.47/x
  3. Step 3: Cross multiply
    4,176.54x = 5,802.30 × 4,138.47
  4. Step 4: Simplify right side
    4,176.54x = 24,012,644.48
  5. Step 5: Solve for x
    x = 24,012,644.48/4,176.54
  6. Step 6: Final answer
    x = 5,749.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.