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Finding the Fourth Proportional to 4,892.67, 7,336.76 and 2,426.63

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Solution

The fourth proportional to 4,892.67, 7,336.76 and 2,426.63 is: 3,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.67 : 7,336.76 = 2,426.63 : x
  2. Step 2: Convert to fraction form
    4,892.67/7,336.76 = 2,426.63/x
  3. Step 3: Cross multiply
    4,892.67x = 7,336.76 × 2,426.63
  4. Step 4: Simplify right side
    4,892.67x = 17,803,553.10
  5. Step 5: Solve for x
    x = 17,803,553.10/4,892.67
  6. Step 6: Final answer
    x = 3,638.82

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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.