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Finding the Fourth Proportional to 4,933.72, 7,402.02 and 2,011.48

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Solution

The fourth proportional to 4,933.72, 7,402.02 and 2,011.48 is: 3,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.72 : 7,402.02 = 2,011.48 : x
  2. Step 2: Convert to fraction form
    4,933.72/7,402.02 = 2,011.48/x
  3. Step 3: Cross multiply
    4,933.72x = 7,402.02 × 2,011.48
  4. Step 4: Simplify right side
    4,933.72x = 14,889,015.19
  5. Step 5: Solve for x
    x = 14,889,015.19/4,933.72
  6. Step 6: Final answer
    x = 3,017.81

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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.