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Finding the Fourth Proportional to 4,950.29, 7,426.26 and 1,830.31

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Solution

The fourth proportional to 4,950.29, 7,426.26 and 1,830.31 is: 2,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.29 : 7,426.26 = 1,830.31 : x
  2. Step 2: Convert to fraction form
    4,950.29/7,426.26 = 1,830.31/x
  3. Step 3: Cross multiply
    4,950.29x = 7,426.26 × 1,830.31
  4. Step 4: Simplify right side
    4,950.29x = 13,592,339.37
  5. Step 5: Solve for x
    x = 13,592,339.37/4,950.29
  6. Step 6: Final answer
    x = 2,745.76

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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.