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Finding the Fourth Proportional to 5,404.97, 8,108.83 and 1,509.38

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Solution

The fourth proportional to 5,404.97, 8,108.83 and 1,509.38 is: 2,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.97 : 8,108.83 = 1,509.38 : x
  2. Step 2: Convert to fraction form
    5,404.97/8,108.83 = 1,509.38/x
  3. Step 3: Cross multiply
    5,404.97x = 8,108.83 × 1,509.38
  4. Step 4: Simplify right side
    5,404.97x = 12,239,297.58
  5. Step 5: Solve for x
    x = 12,239,297.58/5,404.97
  6. Step 6: Final answer
    x = 2,264.45

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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.