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Finding the Fourth Proportional to 4,899.16, 7,349.26 and 1,977

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Solution

The fourth proportional to 4,899.16, 7,349.26 and 1,977 is: 2,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.16 : 7,349.26 = 1,977 : x
  2. Step 2: Convert to fraction form
    4,899.16/7,349.26 = 1,977/x
  3. Step 3: Cross multiply
    4,899.16x = 7,349.26 × 1,977
  4. Step 4: Simplify right side
    4,899.16x = 14,529,487.02
  5. Step 5: Solve for x
    x = 14,529,487.02/4,899.16
  6. Step 6: Final answer
    x = 2,965.71

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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.