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Finding the Fourth Proportional to 4,192.80, 5,784.21 and 2,513.40

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Solution

The fourth proportional to 4,192.80, 5,784.21 and 2,513.40 is: 3,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.80 : 5,784.21 = 2,513.40 : x
  2. Step 2: Convert to fraction form
    4,192.80/5,784.21 = 2,513.40/x
  3. Step 3: Cross multiply
    4,192.80x = 5,784.21 × 2,513.40
  4. Step 4: Simplify right side
    4,192.80x = 14,538,033.41
  5. Step 5: Solve for x
    x = 14,538,033.41/4,192.80
  6. Step 6: Final answer
    x = 3,467.38

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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.