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Finding the Fourth Proportional to 4,546.79, 6,820.18 and 1,427.06

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Solution

The fourth proportional to 4,546.79, 6,820.18 and 1,427.06 is: 2,140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.79 : 6,820.18 = 1,427.06 : x
  2. Step 2: Convert to fraction form
    4,546.79/6,820.18 = 1,427.06/x
  3. Step 3: Cross multiply
    4,546.79x = 6,820.18 × 1,427.06
  4. Step 4: Simplify right side
    4,546.79x = 9,732,819.55
  5. Step 5: Solve for x
    x = 9,732,819.55/4,546.79
  6. Step 6: Final answer
    x = 2,140.59

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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.