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Finding the Fourth Proportional to 4,142.79, 5,722.79 and 3,302.39

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Solution

The fourth proportional to 4,142.79, 5,722.79 and 3,302.39 is: 4,561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.79 : 5,722.79 = 3,302.39 : x
  2. Step 2: Convert to fraction form
    4,142.79/5,722.79 = 3,302.39/x
  3. Step 3: Cross multiply
    4,142.79x = 5,722.79 × 3,302.39
  4. Step 4: Simplify right side
    4,142.79x = 18,898,884.47
  5. Step 5: Solve for x
    x = 18,898,884.47/4,142.79
  6. Step 6: Final answer
    x = 4,561.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.