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Finding the Fourth Proportional to 5,739.84, 7,919.64 and 4,165.20

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Solution

The fourth proportional to 5,739.84, 7,919.64 and 4,165.20 is: 5,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.84 : 7,919.64 = 4,165.20 : x
  2. Step 2: Convert to fraction form
    5,739.84/7,919.64 = 4,165.20/x
  3. Step 3: Cross multiply
    5,739.84x = 7,919.64 × 4,165.20
  4. Step 4: Simplify right side
    5,739.84x = 32,986,884.53
  5. Step 5: Solve for x
    x = 32,986,884.53/5,739.84
  6. Step 6: Final answer
    x = 5,747.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.