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Finding the Fourth Proportional to 4,950.96, 7,427.64 and 1,619.40

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Solution

The fourth proportional to 4,950.96, 7,427.64 and 1,619.40 is: 2,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.96 : 7,427.64 = 1,619.40 : x
  2. Step 2: Convert to fraction form
    4,950.96/7,427.64 = 1,619.40/x
  3. Step 3: Cross multiply
    4,950.96x = 7,427.64 × 1,619.40
  4. Step 4: Simplify right side
    4,950.96x = 12,028,312.36
  5. Step 5: Solve for x
    x = 12,028,312.36/4,950.96
  6. Step 6: Final answer
    x = 2,429.49

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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.