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Finding the Fourth Proportional to 3,383.02, 4,658.38 and 3,185.74

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Solution

The fourth proportional to 3,383.02, 4,658.38 and 3,185.74 is: 4,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.02 : 4,658.38 = 3,185.74 : x
  2. Step 2: Convert to fraction form
    3,383.02/4,658.38 = 3,185.74/x
  3. Step 3: Cross multiply
    3,383.02x = 4,658.38 × 3,185.74
  4. Step 4: Simplify right side
    3,383.02x = 14,840,387.50
  5. Step 5: Solve for x
    x = 14,840,387.50/3,383.02
  6. Step 6: Final answer
    x = 4,386.73

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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.