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Finding the Fourth Proportional to 3,435.84, 5,149.19 and 3,044.93

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Solution

The fourth proportional to 3,435.84, 5,149.19 and 3,044.93 is: 4,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.84 : 5,149.19 = 3,044.93 : x
  2. Step 2: Convert to fraction form
    3,435.84/5,149.19 = 3,044.93/x
  3. Step 3: Cross multiply
    3,435.84x = 5,149.19 × 3,044.93
  4. Step 4: Simplify right side
    3,435.84x = 15,678,904.97
  5. Step 5: Solve for x
    x = 15,678,904.97/3,435.84
  6. Step 6: Final answer
    x = 4,563.34

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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.