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Finding the Fourth Proportional to 5,001.78, 7,495.62 and 3,827.23

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Solution

The fourth proportional to 5,001.78, 7,495.62 and 3,827.23 is: 5,735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.78 : 7,495.62 = 3,827.23 : x
  2. Step 2: Convert to fraction form
    5,001.78/7,495.62 = 3,827.23/x
  3. Step 3: Cross multiply
    5,001.78x = 7,495.62 × 3,827.23
  4. Step 4: Simplify right side
    5,001.78x = 28,687,461.73
  5. Step 5: Solve for x
    x = 28,687,461.73/5,001.78
  6. Step 6: Final answer
    x = 5,735.45

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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.