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Finding the Fourth Proportional to 5,381.79, 7,429.22 and 3,142.81

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Solution

The fourth proportional to 5,381.79, 7,429.22 and 3,142.81 is: 4,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.79 : 7,429.22 = 3,142.81 : x
  2. Step 2: Convert to fraction form
    5,381.79/7,429.22 = 3,142.81/x
  3. Step 3: Cross multiply
    5,381.79x = 7,429.22 × 3,142.81
  4. Step 4: Simplify right side
    5,381.79x = 23,348,626.91
  5. Step 5: Solve for x
    x = 23,348,626.91/5,381.79
  6. Step 6: Final answer
    x = 4,338.45

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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.