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Finding the Fourth Proportional to 3,477.39, 5,206.96 and 2,383.89

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Solution

The fourth proportional to 3,477.39, 5,206.96 and 2,383.89 is: 3,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.39 : 5,206.96 = 2,383.89 : x
  2. Step 2: Convert to fraction form
    3,477.39/5,206.96 = 2,383.89/x
  3. Step 3: Cross multiply
    3,477.39x = 5,206.96 × 2,383.89
  4. Step 4: Simplify right side
    3,477.39x = 12,412,819.87
  5. Step 5: Solve for x
    x = 12,412,819.87/3,477.39
  6. Step 6: Final answer
    x = 3,569.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.