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Finding the Fourth Proportional to 4,902.34, 7,356.14 and 3,259.66

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Solution

The fourth proportional to 4,902.34, 7,356.14 and 3,259.66 is: 4,891.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.34 : 7,356.14 = 3,259.66 : x
  2. Step 2: Convert to fraction form
    4,902.34/7,356.14 = 3,259.66/x
  3. Step 3: Cross multiply
    4,902.34x = 7,356.14 × 3,259.66
  4. Step 4: Simplify right side
    4,902.34x = 23,978,515.31
  5. Step 5: Solve for x
    x = 23,978,515.31/4,902.34
  6. Step 6: Final answer
    x = 4,891.24

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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.