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Finding the Fourth Proportional to 4,877.67, 7,318.15 and 1,546.46

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Solution

The fourth proportional to 4,877.67, 7,318.15 and 1,546.46 is: 2,320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.67 : 7,318.15 = 1,546.46 : x
  2. Step 2: Convert to fraction form
    4,877.67/7,318.15 = 1,546.46/x
  3. Step 3: Cross multiply
    4,877.67x = 7,318.15 × 1,546.46
  4. Step 4: Simplify right side
    4,877.67x = 11,317,240.68
  5. Step 5: Solve for x
    x = 11,317,240.68/4,877.67
  6. Step 6: Final answer
    x = 2,320.21

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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.