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Finding the Fourth Proportional to 4,759.89, 7,140.32 and 1,639.49

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Solution

The fourth proportional to 4,759.89, 7,140.32 and 1,639.49 is: 2,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.89 : 7,140.32 = 1,639.49 : x
  2. Step 2: Convert to fraction form
    4,759.89/7,140.32 = 1,639.49/x
  3. Step 3: Cross multiply
    4,759.89x = 7,140.32 × 1,639.49
  4. Step 4: Simplify right side
    4,759.89x = 11,706,439.34
  5. Step 5: Solve for x
    x = 11,706,439.34/4,759.89
  6. Step 6: Final answer
    x = 2,459.39

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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.