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Finding the Fourth Proportional to 5,443.30, 7,512.38 and 3,053.93

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Solution

The fourth proportional to 5,443.30, 7,512.38 and 3,053.93 is: 4,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.30 : 7,512.38 = 3,053.93 : x
  2. Step 2: Convert to fraction form
    5,443.30/7,512.38 = 3,053.93/x
  3. Step 3: Cross multiply
    5,443.30x = 7,512.38 × 3,053.93
  4. Step 4: Simplify right side
    5,443.30x = 22,942,241.27
  5. Step 5: Solve for x
    x = 22,942,241.27/5,443.30
  6. Step 6: Final answer
    x = 4,214.77

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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.