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Finding the Fourth Proportional to 3,678.83, 5,483.59 and 3,383.58

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Solution

The fourth proportional to 3,678.83, 5,483.59 and 3,383.58 is: 5,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.83 : 5,483.59 = 3,383.58 : x
  2. Step 2: Convert to fraction form
    3,678.83/5,483.59 = 3,383.58/x
  3. Step 3: Cross multiply
    3,678.83x = 5,483.59 × 3,383.58
  4. Step 4: Simplify right side
    3,678.83x = 18,554,169.90
  5. Step 5: Solve for x
    x = 18,554,169.90/3,678.83
  6. Step 6: Final answer
    x = 5,043.50

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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.