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Finding the Fourth Proportional to 4,546.17, 6,819.05 and 1,426.11

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Solution

The fourth proportional to 4,546.17, 6,819.05 and 1,426.11 is: 2,139.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.17 : 6,819.05 = 1,426.11 : x
  2. Step 2: Convert to fraction form
    4,546.17/6,819.05 = 1,426.11/x
  3. Step 3: Cross multiply
    4,546.17x = 6,819.05 × 1,426.11
  4. Step 4: Simplify right side
    4,546.17x = 9,724,715.40
  5. Step 5: Solve for x
    x = 9,724,715.40/4,546.17
  6. Step 6: Final answer
    x = 2,139.10

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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.