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Finding the Fourth Proportional to 4,902.09, 7,352.37 and 4,074.47

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Solution

The fourth proportional to 4,902.09, 7,352.37 and 4,074.47 is: 6,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.09 : 7,352.37 = 4,074.47 : x
  2. Step 2: Convert to fraction form
    4,902.09/7,352.37 = 4,074.47/x
  3. Step 3: Cross multiply
    4,902.09x = 7,352.37 × 4,074.47
  4. Step 4: Simplify right side
    4,902.09x = 29,957,010.99
  5. Step 5: Solve for x
    x = 29,957,010.99/4,902.09
  6. Step 6: Final answer
    x = 6,111.07

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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.