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Finding the Fourth Proportional to 4,892.60, 7,339.67 and 1,772.29

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Solution

The fourth proportional to 4,892.60, 7,339.67 and 1,772.29 is: 2,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.60 : 7,339.67 = 1,772.29 : x
  2. Step 2: Convert to fraction form
    4,892.60/7,339.67 = 1,772.29/x
  3. Step 3: Cross multiply
    4,892.60x = 7,339.67 × 1,772.29
  4. Step 4: Simplify right side
    4,892.60x = 13,008,023.74
  5. Step 5: Solve for x
    x = 13,008,023.74/4,892.60
  6. Step 6: Final answer
    x = 2,658.71

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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.