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Finding the Fourth Proportional to 4,192.02, 5,785.02 and 3,313.98

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Solution

The fourth proportional to 4,192.02, 5,785.02 and 3,313.98 is: 4,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.02 : 5,785.02 = 3,313.98 : x
  2. Step 2: Convert to fraction form
    4,192.02/5,785.02 = 3,313.98/x
  3. Step 3: Cross multiply
    4,192.02x = 5,785.02 × 3,313.98
  4. Step 4: Simplify right side
    4,192.02x = 19,171,440.58
  5. Step 5: Solve for x
    x = 19,171,440.58/4,192.02
  6. Step 6: Final answer
    x = 4,573.32

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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.