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Finding the Fourth Proportional to 4,017.76, 6,018 and 3,973.48

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Solution

The fourth proportional to 4,017.76, 6,018 and 3,973.48 is: 5,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.76 : 6,018 = 3,973.48 : x
  2. Step 2: Convert to fraction form
    4,017.76/6,018 = 3,973.48/x
  3. Step 3: Cross multiply
    4,017.76x = 6,018 × 3,973.48
  4. Step 4: Simplify right side
    4,017.76x = 23,912,402.64
  5. Step 5: Solve for x
    x = 23,912,402.64/4,017.76
  6. Step 6: Final answer
    x = 5,951.68

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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.