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Finding the Fourth Proportional to 5,739.68, 8,602.61 and 2,964.84

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Solution

The fourth proportional to 5,739.68, 8,602.61 and 2,964.84 is: 4,443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.68 : 8,602.61 = 2,964.84 : x
  2. Step 2: Convert to fraction form
    5,739.68/8,602.61 = 2,964.84/x
  3. Step 3: Cross multiply
    5,739.68x = 8,602.61 × 2,964.84
  4. Step 4: Simplify right side
    5,739.68x = 25,505,347.41
  5. Step 5: Solve for x
    x = 25,505,347.41/5,739.68
  6. Step 6: Final answer
    x = 4,443.69

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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.