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Finding the Fourth Proportional to 3,529.74, 4,871.62 and 1,958.34

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Solution

The fourth proportional to 3,529.74, 4,871.62 and 1,958.34 is: 2,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.74 : 4,871.62 = 1,958.34 : x
  2. Step 2: Convert to fraction form
    3,529.74/4,871.62 = 1,958.34/x
  3. Step 3: Cross multiply
    3,529.74x = 4,871.62 × 1,958.34
  4. Step 4: Simplify right side
    3,529.74x = 9,540,259.06
  5. Step 5: Solve for x
    x = 9,540,259.06/3,529.74
  6. Step 6: Final answer
    x = 2,702.83

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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.