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Finding the Fourth Proportional to 3,204.04, 4,773.20 and 3,086.49

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Solution

The fourth proportional to 3,204.04, 4,773.20 and 3,086.49 is: 4,598.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.04 : 4,773.20 = 3,086.49 : x
  2. Step 2: Convert to fraction form
    3,204.04/4,773.20 = 3,086.49/x
  3. Step 3: Cross multiply
    3,204.04x = 4,773.20 × 3,086.49
  4. Step 4: Simplify right side
    3,204.04x = 14,732,434.07
  5. Step 5: Solve for x
    x = 14,732,434.07/3,204.04
  6. Step 6: Final answer
    x = 4,598.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.