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Finding the Fourth Proportional to 4,902.67, 7,354.02 and 2,556.91

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Solution

The fourth proportional to 4,902.67, 7,354.02 and 2,556.91 is: 3,835.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.67 : 7,354.02 = 2,556.91 : x
  2. Step 2: Convert to fraction form
    4,902.67/7,354.02 = 2,556.91/x
  3. Step 3: Cross multiply
    4,902.67x = 7,354.02 × 2,556.91
  4. Step 4: Simplify right side
    4,902.67x = 18,803,567.28
  5. Step 5: Solve for x
    x = 18,803,567.28/4,902.67
  6. Step 6: Final answer
    x = 3,835.37

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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.