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Finding the Fourth Proportional to 3,778.49, 5,669.58 and 1,699.96

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Solution

The fourth proportional to 3,778.49, 5,669.58 and 1,699.96 is: 2,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.49 : 5,669.58 = 1,699.96 : x
  2. Step 2: Convert to fraction form
    3,778.49/5,669.58 = 1,699.96/x
  3. Step 3: Cross multiply
    3,778.49x = 5,669.58 × 1,699.96
  4. Step 4: Simplify right side
    3,778.49x = 9,638,030.87
  5. Step 5: Solve for x
    x = 9,638,030.87/3,778.49
  6. Step 6: Final answer
    x = 2,550.77

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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.