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Finding the Fourth Proportional to 4,943.90, 7,410.64 and 3,464.20

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Solution

The fourth proportional to 4,943.90, 7,410.64 and 3,464.20 is: 5,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.90 : 7,410.64 = 3,464.20 : x
  2. Step 2: Convert to fraction form
    4,943.90/7,410.64 = 3,464.20/x
  3. Step 3: Cross multiply
    4,943.90x = 7,410.64 × 3,464.20
  4. Step 4: Simplify right side
    4,943.90x = 25,671,939.09
  5. Step 5: Solve for x
    x = 25,671,939.09/4,943.90
  6. Step 6: Final answer
    x = 5,192.65

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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.