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Finding the Fourth Proportional to 5,535.62, 8,301.94 and 3,780.32

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Solution

The fourth proportional to 5,535.62, 8,301.94 and 3,780.32 is: 5,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.62 : 8,301.94 = 3,780.32 : x
  2. Step 2: Convert to fraction form
    5,535.62/8,301.94 = 3,780.32/x
  3. Step 3: Cross multiply
    5,535.62x = 8,301.94 × 3,780.32
  4. Step 4: Simplify right side
    5,535.62x = 31,384,006.82
  5. Step 5: Solve for x
    x = 31,384,006.82/5,535.62
  6. Step 6: Final answer
    x = 5,669.47

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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.