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Finding the Fourth Proportional to 3,529.71, 4,871.30 and 1,958.13

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Solution

The fourth proportional to 3,529.71, 4,871.30 and 1,958.13 is: 2,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.71 : 4,871.30 = 1,958.13 : x
  2. Step 2: Convert to fraction form
    3,529.71/4,871.30 = 1,958.13/x
  3. Step 3: Cross multiply
    3,529.71x = 4,871.30 × 1,958.13
  4. Step 4: Simplify right side
    3,529.71x = 9,538,628.88
  5. Step 5: Solve for x
    x = 9,538,628.88/3,529.71
  6. Step 6: Final answer
    x = 2,702.38

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Why These Related Problems?

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