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Finding the Fourth Proportional to 5,901.06, 8,850 and 1,739.84

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Solution

The fourth proportional to 5,901.06, 8,850 and 1,739.84 is: 2,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.06 : 8,850 = 1,739.84 : x
  2. Step 2: Convert to fraction form
    5,901.06/8,850 = 1,739.84/x
  3. Step 3: Cross multiply
    5,901.06x = 8,850 × 1,739.84
  4. Step 4: Simplify right side
    5,901.06x = 15,397,584
  5. Step 5: Solve for x
    x = 15,397,584/5,901.06
  6. Step 6: Final answer
    x = 2,609.29

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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.