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Finding the Fourth Proportional to 4,666.74, 6,998.46 and 1,546.20

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Solution

The fourth proportional to 4,666.74, 6,998.46 and 1,546.20 is: 2,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.74 : 6,998.46 = 1,546.20 : x
  2. Step 2: Convert to fraction form
    4,666.74/6,998.46 = 1,546.20/x
  3. Step 3: Cross multiply
    4,666.74x = 6,998.46 × 1,546.20
  4. Step 4: Simplify right side
    4,666.74x = 10,821,018.85
  5. Step 5: Solve for x
    x = 10,821,018.85/4,666.74
  6. Step 6: Final answer
    x = 2,318.75

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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.