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Finding the Fourth Proportional to 3,801.96, 5,706.18 and 1,495.08

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Solution

The fourth proportional to 3,801.96, 5,706.18 and 1,495.08 is: 2,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.96 : 5,706.18 = 1,495.08 : x
  2. Step 2: Convert to fraction form
    3,801.96/5,706.18 = 1,495.08/x
  3. Step 3: Cross multiply
    3,801.96x = 5,706.18 × 1,495.08
  4. Step 4: Simplify right side
    3,801.96x = 8,531,195.59
  5. Step 5: Solve for x
    x = 8,531,195.59/3,801.96
  6. Step 6: Final answer
    x = 2,243.89

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Why These Related Problems?

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